| Research Interests | Curriculum Vitae | Education | Dissertation | Research Experience | Publications | Teaching Experience | Advising | Lecture Notes and Textbooks | Professional Activity | Editorial Activity | Contact Addresses | Óêðà¿íñüêà âåðñ³ÿ |

 


Oleg GUTIK
Associate Professor of the Ivan Franko Lviv National University

| Research Interests | Curriculum Vitae | Education | Dissertation | Research Experience | Publications | Teaching Experience | Advising | Lecture Notes and Textbooks | Professional Activity | Editorial Activity | Contact Addresses | Óêðà¿íñüêà âåðñ³ÿ |

Publications

List of Publications


Books and Lecture Notes

  1. I. I. Guran, and O. V. Gutik, Mathematics for Economists. For Students of Departments of International Relations. Lecture Notes. Znannya, Kyiv, 2008, 388 pp. (in Ukrainian).

Papers

  1. O. V. Gutik, Embedding of topological semigroups into simple semigroups, Mat. Stud. 3 (1994),10-14, (in Russian) (MR 1692849 (2000m:22006), Zbl 0928.22004).
  2. O. V. Gutik, Any topological semigroup topologically isomorphically embeds into a simple path-connected topological semigroup, Algebra and Topology, Lviv Univ. Press (1996), 65-73, (in Ukrainian).
  3. O. V. Gutik, On the structure of the band of a compact inverse semigroup with open translations, Mat. Stud. 6 (1996), 33-38, (in Russian) (MR 1691120 (2000a:22003), Zbl 0928.22005).
  4. O. V. Gutik, Embeddings of Topological Inverse Semigroups and the Structure of their Bands with Restrictions on Translations, Dissertation, Lviv State Univ. (1996) 96pp.
  5. O. V. Gutik, On a coarsening of a direct sum topology on the Bruck semigroup, Visnyk Lviv Univ. Ser. Mech. Math. 47 (1997), 17-21, (in Ukrainian).
  6. O. V. Gutik, Embedding of countable topological semigroups into simple countable connected topolological semigroups, Math. Methods and Phys.- Mech. Fields 41 (1998), no. 3, 16-21 (in Ukrainian). English Version in: J. Math. Sc. 104 (2001), no. 5, 1422-1427 (MR 1706772 (2000e:22002), Zbl 0933.22004).
  7. O. V. Gutik, On compact semilattices with open principal filters, Math. Methods and Phys.-Mech. Fields 42 (1999), no. 3, 91-94, (in Ukrainian) (MR 1977866 (2004c:06009), Zbl 1050.54519).
  8. O. V. Gutik, On Howie semigroup, Math. Methods and Phys.-Mech. Fields 42 (1999), no. 4, 127-132, (in Ukrainian) (MR 1967818, Zbl 1047.22500).
  9. O. V. Gutik, Ye. G. Zelenyuk, On non-proper homomorphisms of the semigroups of ultrafiltres, Math. Methods and Phys.-Mech. Fields 43 (2000), no. 1, 19-22, (in Ukrainian) (MR 1972601 (2004b:22006), Zbl 1054.22002).
  10. O. Gutik, Compact topological inverse semigroups, Semigroup Forum 60 (2000), no. 2, 243-252 (MR 1830131 (2002e:22004), Zbl 0945.22002).
  11. O. V. Gutik, On homomorphisms of topological inverse semigroups, Math. Methods and Phys.-Mech. Fields 43 (2000), no. 2, 75-82, (in Ukrainian) (MR 1977836 (2004a:22001), Zbl 1052.54512).
  12. O. V. Gutik, and K. P. Pavlyk, The $H$-closedness of topological inverse semigroups and topological Brandt $\lambda$-extensions, XVI Open Scientific and Technical Conference of Young Scientists of the Karpenko Physico-Mechanical Institute of NASU. May 17-18, 2001. Lviv, Ukraine. Proceedings. (2001), 240-243.
  13. O. V. Gutik, and K. P. Pavlyk, Minimal topologies on semigroups of matrix units, International Scientific and Technical Conference "Information of processes of formation of open systems on basis DBMS, design computer-aided ...". June 26-28, 2001. Vologda, Russia. Proceedings. (2001), 301-305.
  14. T. O. Banakh, I. Yo. Guran, and O. V. Gutik, Free topological inverse semigroups, Mat. Stud. 15 (2001), no. 1, 23-43 (MR 1871924 (2003e:20072), Zbl 0990.22001).
  15. O. V. Gutik, and K. P. Pavlyk, $H$-closed topological semigroups and topological Brandt $\lambda$-extensions, Math. Methods and Phys.-Mech. Fields 44 (2001), no. 3, 20-28, (in Ukrainian) (MR 1967909 (2004a:22002), Zbl 1098.22500).
  16. O. V. Gutik, M. Radjagopalan, and K. Sundaresan, Compact semilattices with open principal filters, J. Austral. Math. Soc. 72, ¹3 (2002), 349-362 (MR 1902205 (2003f:22005), Zbl 1024.22001).
  17. O. V. Gutik, and K. P. Pavlyk, Embedding of topological semigroups, Math. Methods and Phys.-Mech. Fields 45 (2002), no. 1, 90-96, (in Ukrainian) (MR 1967652 (2003m:22005), Zbl 1073.54017).
  18. I. Yo. Guran, and O. V. Gutik, The bicyclic semigroup and countably compact topological inverse semigroups, XVII Open Scientific and Technical Conference of Young Scientists of the Karpenko Physic and Mechanics Institute of NASU. May 15-17, 2002. Lviv, Ukraine. Proceedings. (2002), 149-152.
  19. T. O, Banach, and O. V. Gutik, On a counterpart of Franklin Theorem for topological semigroups, XVII Open Scientific and Technical Conference of Young Scientists of the Karpenko Physico-Mechanical Institute of NASU. May 15-17, 2002. Lviv, Ukraine. Proceedings. (2002), 153-155.
  20. O. V. Gutik, and K. P. Pavlyk, Topological Brandt $\lambda$-extensions of absolutely $H$-closed topological inverse semigroups, Visnyk Lviv Univ. Ser. Mech. Math. 61 (2003), 98-105 (Zbl 1034.22003).
  21. O. V. Gutik, and O. Ye. Lebidko, On semigroup of compact subsets of a paratopological group, Applied Problems of Mech. and Math. 1 (2003), 20-24.
  22. O. V. Gutik, and K. P. Pavlyk, On $0$ -simple initially $\tau$-compact topological inverse semigroups, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics, Lviv, May 24-26, 2004. Proceedings, Lviv (2004) 179-181.
  23. T. O. Banakh, and O. V. Gutik, On the continuity of inversion in countably compact inverse topological semigroups, Semigroup Forum 68 (2004), no. 3, 411-418 (MR 2050899 (2005c:22005), Zbl 1052.22003).
  24. Ya. Prytula, M. Zarichnyi, T. Banakh, and O. Gutik, Second summer school in algebra and topology, Mat. Stud. 22 (2004) no.2, 223-224.
  25. I. Guran, and O. Gutik, Alexander Doniphan Wallace: the founder of the theory of topological semigroups, Third Summer School in Algebra, Analysis and Topology. Lviv-Kozyova, August 9-20, 2005. Invited Lectures and Abstracts of Research Reports. Lviv (2005), 31-57.
  26. O. V. Gutik, and K. P. Pavlyk, Topological semigroups of matrix units, Algebra Discrete Math. no. 3 (2005), 1-17 (MR 2237891 (2007e:20125), Zbl 1092.22002).
  27. O. Gutik, and M. Zarichnyi, Third Summer School in Algebra, Analysis and Topology, Mat. Stud. 24 (2005), no. 2, 217-218.
  28. T. Banakh, O. V. Gutik, and M. Rajagopalan, Compatible algebraic structures on scattered compacta, Topology Appl., 153 (2005), no. 5-6, 710-723 (MR 2201483 (2006k:54048), Zbl 1087.22003).
  29. O. V. Gutik, Yu. M. Livach, Embediins of topological semigroups into nilpotent-generated semigroups, Math. Methods and Phys.-Mech. Fields 48 (2005), no. 4, 66-77 (in Ukrainian), (MR 2229292 (2007b:20122), Zbl 1110.20045).
  30. O. V. Gutik, and K. P. Pavlyk, On topological semigroups of matrix units, Semigroup Forum 71 (2005), no. 3, 389-400 (MR 2204758 (2006m:22003), Zbl 1092.22003).
  31. O. Gutik, and M. Zarichnyi, Third Summer School in Algebra, Analysis and Topology, Ukr. Math. Zh. 58 (2006), no. 2, 288-289 (in Ukrainian).
  32. O. Gutik, and M. Zarichnyi, Fourth Summer School “Algebra, Topology, Functional and Stochastic Analysis”, Mat. Stud. 26 (2006), no. 1, 111-112.
  33. O. V. Gutik, and K. P. Pavlyk, On Brandt $\lambda^0$ -extensions of semigroups with zero, Math. Methods and Phys.-Mech. Fields 49 (2006), no. 3, 26-40 (MR 2255060 (2007i:22005), Zbl 1126.22301).
  34. I. Chuchman, and O. Gutik, On H-closed topological semigroups and semilattices, Algebra Discrete Math. (2007), no. 1, 13-23 (MR2367511 (2008j:22003), Zbl 1164.06332).
  35. O. Gutik, and D. Repovš, On 0-simple countably compact topological inverse semigroups, Semigroup Forum 75 (2007), no. 2, 464-469 (MR2350768 (2008g:22001), Zbl 1140.22001, arXiv:0804.1437).
  36. O. Gutik, and D. Repovš, On linearly ordered H-closed topological semilattices, Semigroup Forum 77 (2008), no. 3, 474-481 (MR2457332 (2009i:54063), Zbl 1166.22003, arXiv:0804.1438).
  37. O. Gutik, J. Lawson, and D. Repovš, Semigroup closures of finite rank symmetric inverse semigroups, Semigroup Forum 78 (2009), no. 2, 326-336 (MR2486644 (2010f:20066), Zbl 1165.22002, arXiv:0804.1439).
  38. T. Banakh, S. Dimitrova, and O. Gutik, The Rees-Suschkewitsch Theorem for simple topological semigroups, Mat. Stud. 31 (2009), no. 2, 211-218 (MR2643478 (2011c:22003), Zbl 1199.22004, arXiv:0811.1371).
  39. O. Gutik, D. Pagon, and D. Repovš, The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups, Acta Math. Hungar. 124 (2009), no. 3, 201-214 (MR2525561 (2010d:22002), Zbl 1199.22001, arXiv:0807.3102).
  40. O. Gutik, K. Pavlyk, and A. Reiter, Topological semigroups of matrix units and countably compact Brandt $\lambda^0$-extensions, Mat. Stud. 32 (2009), no. 2, 115-131 (MR2643488 (2011b:22002), Zbl 1224.22004, arXiv:0912.0051).
  41. O. V. Gutik, and A. R. Reiter, Symmetric inverse topological semigroups of finite rank $\leqslant n$, Math. Methods and Phys.-Mech. Fields 52 (2009), no. 3, 7-14; reprinted version: J. Math. Sc., 171 (2010), no. 4, 425-432 (MR2676357 (2011e:22002), Zbl 1212.22003, arXiv:0912.0198).
  42. O. V. Gutik, and K. P. Pavlyk, Bruck-Reilly extension of a semitopological semigroups, Applied Problems of Mech. and Math. 7 (2009), 66-72.
  43. O. Gutik, and D. Repovš, On Brandt $\lambda^0$-extensions of monoids with zero, Semigroup Forum 80 (2010), no. 1, 8-32 (MR2580607 (2011g:22007), Zbl 1201.20057, arXiv:0910.0535).
  44. O. Gutik, D. Pagon, and D. Repovš, On chains in H-closed topological pospaces, Order 27 (2010), no. 1, 69-81 (MR2601156 (2011a:54037), Zbl 1221.06021, arXiv:0804.1449).
  45. T. Berezovski, O. Gutik, and K. Pavlyk, Brandt extensions and primitive topological inverse semigroups, Int. J. Math. Math. Sci. 2010 (2010) Article ID 671401, 13 pages, doi:10.1155/2010/671401 (MR2600883 (2011d:22002), Zbl 1225.22005, arXiv:1005.4111).
  46. T. Banakh, S. Dimitrova, and O. Gutik, Embedding the bicyclic semigroup into countably compact topological semigroups, Topology Appl. 157 (2010), no. 18, 2803-2814 (MR2729339 (2012a:54028), Zbl 1217.22001, arXiv:0811.4276).
  47. I. Chuchman, and O. Gutik, Topological monoids of almost monotone, injective cofinite partial selfmaps of positive integers, Carpathian Mathematical Publications 2 (2010), no. 1, 119-132 (arXiv:1006.4873).
  48. O. Gutik, and A. Reiter, On semitopological symmetric inverse semigroups of a bounded finite rank, Visnyk Lviv Univ. Ser. Mech. Math. 72 (2010), 94-106 (in Ukrainian).
  49. O. V. Gutik, K. P. Pavlyk, and A. R. Reiter, On topological Brandt semigroups, Math. Methods and Phys.-Mech. Fields 54 (2011), no. 2, 7-16 (in Ukrainian).
  50. O. Gutik, and D. Repovš, Topological monoids of monotone injective partial selfmaps of N with cofinite domain and image, Stud. Sci. Math. Hung. 48 (2011), no. 3, 342-353 (arXiv:1108.2848).
  51. I. Chuchman, and O. Gutik, On monoids of injective partial selfmaps almost everywhere the identity, Demonstr. Math. 44 (2011), no. 4, 699-722 (arXiv:1009.1338).
  52. O. Gutik, D. Pagon, and K. Pavlyk, Congruences on bicyclic extensions of a linearly ordered group, Acta Comment. Univ. Tartu. Math. 15 (2011), no. 2, 61-80 (arXiv:1111.2401).
  53. I. Guran, O. Gutik, O. Ravsky, and I. Chuchman, On symmetric topologiacl semigroups and groups, Visnyk Lviv Univ. Ser. Mech. Math. 74 (2011), 61-73 (in Ukrainian).
  54. I. Fihel, and O. Gutik, On the closure of the extended bicyclic semigroup, Carpathian Mathematical Publications 3 (2011), no. 2, 131-157 (arXiv:1201.0090).


Papers in Press or in Preparation

  1. T. Banakh, O. Gutik, O. Potiatynnyk, and A. Ravsky, Metrizability of Clifford topological semigroups, Semigroup Forum (to appear) (arXiv:1105.2806).
  2. O. Gutik, and I. Figel', Embedding topological semigroups into idempotent generated topological semigroups, Visnyk Lviv Univ. Ser. Mech. Math. (to appear) (in Ukrainian).
  3. O. Gutik, and D. Repovš, On monoids of injective partial selfmaps of integers with cofinite domains and images, (submitted).
  4. O. Gutik, and D. Repovš, On monoids of injective partial cofinite selfmaps, (submitted).
  5. O. Gutik, and D. Repovš, On embedding of topological semigroups into countably compact topological semigroups, Preprint.

Abstracts of Conference Reports

  1. O. V. Gutik, On embeddings of topological semigroups into simple semigroups, V Accounting Conference of Ukrainian Academy of Printing, Lviv, January 3-5, 1995. Abstracts of Reports. Lviv, Ukrainian Academy of Printing, 1995, P. 122 (in Ukrainian).
  2. O. V. Gutik, On an embedding of a topological semigroup into a path-connected topological semigroup, IV International Scientific Conference in Honor of Academician M. Kravchuk. Abstracts of Reports. Kyiv, 1995, P. 83 (in Russian).
  3. O. V. Gutik, On analoques of Ponomarev Theorem and Franklin Theorwm in the category of topological semigroups, V International Scientific Conference in Honor of Academician M. Kravchuk. Abstracts of Reports. Kyiv, 1996, P. 112 (in Russian).
  4. O. V. Gutik, On topological inverse semigroups with restrictions on translations , International Algebraic Conference Dedicated to the Memory of Professor L. M. Gluskin. Slovyansk, August 25-29, 1997. Abstracts of Reports. Kyiv, 1997, P. 30-31.
  5. O. V. Gutik, Embeddings of countable topological semigroups, International Scientific Conference ``Modern Problems of Mechanics and Mathematics'' Dedicated to the 70th Anniversary of Academician Ya. S. Pidstryhach. Lviv, May 25-28, 1998. Materials. Lviv, 1998, P. 260-261.
  6. T. O. Banakh, I. Yo. Guran, and O. V. Gutik, Free topological inverse semigroups, International Scientific Conference "Modern Problems of Mathematics", Chernivtsi, June 25-30, 1998. Proceedings. Chernivtsi-Kyiv. (1998), 21-24.
  7. O. V. Gutik, Topological inverse semigroups with some restrictions on translations, II International Algebraic Conference in Ukraine Dedicated to the Memory of Professor L. A. Kalujnin. Vinnytsya-Kyiv, May 9-16, 1999. Materials. Vinnytsya, 1999, P. 18-19.
  8. O. V. Gutik, Compact semilattices with open principal filters, International Conference ``Semigroups: the Theory and Applications'' in Honor of Professor E. S. Lyapin. St.-Petersburg, June 2-9, 1999. Abstracts of Reports. St.-Petersburg, 1999, P. 83.
  9. O. V. Gutik, On some class îf topological pospaces, International Conference "Nonlinear Partial Differential Equations" dedicated to J. P. Schauder. Lviv, August 23-29, 1999. Abstracts. Lviv, 1999, P. 83.
  10. O. V. Gutik, and K. P. Pavlyk The $H$-closedness of topological inverse semigroups and topological Brandt $\lambda$-extensions, XVI Open Scientific and Technical Conference of Young Scien-tists and Specialists of the Karpenko Physico-Mechanical Institute of NASU. Lviv, May 16-18, 2001. Abstracts. Lviv, 2001, P. 71.
  11. I. Yo. Guran, and O. V. Gutik, The development of Lviv School on topological semigroups, Conference "Scientific Readings Dedicated to the Memory of Academician Ya. S. Pidstryhach" of the Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine. Lviv, May 28-29, 2001. Abstracts of Reports. Lviv, 2001, P. 6.
  12. O. V. Gutik, and O. Ye. Lebidko, On the semigroup of compact subsets of a paratopological group, Conference "Scientific Readings Dedicated to the Memory of Academician Ya. S. Pidstryhach" of the Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine. Lviv, May 28-29, 2001. Abstracts of Reports. Lviv, 2001, P. 6-8.
  13. T. O. Banakh, and O. V. Gutik, An example of a scattered compactum admitting no continuous semilattice operation, Third International Algebraic Conference in Ukraine. Sumy, July 2-8, 2001. Proceedings. Sumy, 2001, P. 13-14.
  14. O. V. Gutik, and K. P. Pavlyk, On topological semigroups of matrix units, Third International Algebraic Conference in Ukraine. Sumy, July 2-8, 2001. Proceedings. (2001), 42-45.
  15. O. V. Gutik, On homomorphisms of topological cancellative semigroups, Ukrainian Mathematical Congress-2001. Section 1: Algebra and Number Theory. Kyiv, August 21-23, 2001. Abstracts of Reports. Kyiv, 2001, P. 21.
  16. O. V. Gutik, and K. P. Pavlyk On homomorphisms of topological semigroups of matrix units, International Conference ``Differential Equations and Non-Linear Oscilations''. Chernivtsi, August 27-29, 2001ð. Abstracts of Reports. Kyiv, 2001, P. 183.
  17. O. V. Gutik, and K. P. Pavlyk, $H$-closed topological semigroups and topological Brandt extensions, International Algebraic Conference. Uzhgorod, August 27-29, 2001ð. Abstracts of Reports. Uzhgorod, 2001, P. 13.
  18. O. V. Gutik, On topological Brandt $\lambda$-extensions of topological semigroups, Conference "Scientific Readings Dedicated to the Memory of Academician Ya. S. Pidstryhach" of the Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine. Lviv, May 23-24, 2002. Abstracts of Reports. Lviv, 2002, P. 5-6.
  19. T. O. Banakh, and O. V. Gutik, On the continuity of the inversion in countably compact inverse topological semigroups, International Conference on Functional Analysis and its Applications. Dedicated to the 110th anniversary of Stefan Banach. Lviv, Ukraine, May, 28-31, 2002. Book of Abstracts. Lviv, 2002, P. 25-26.
  20. O. V. Gutik, and K. P. Pavlyk, Topological Brandt $\lambda$-extensions of absolutely $H$-closed topological inverse semigroups, International Algebraic Conference Dedicated to the Memory of Z. I. Borevich, St.-Petersburg, Russia. Proceedings.(2002), 99-103.
  21. O. V. Gutik, and K. P. Pavlyk, On $H$-closed topological semigroups and Brandt extensions, International Mathematical Conference Honoring D. A. Grave's 100th Year Since the Begining of His Work at Kyiv University. Kyiv, June 17-22, 2002. Kyiv, 2002, P. 29-30.
  22. O. V. Gutik, and Yu. Livach, Embeddings of semigroups into nilpotent-generated semigroups, IV International Scientific Conference "Mathematical Problems of the Mechanics of Non-Homogeneous Structures". Lviv, May 26-29, 2003. Proceedings. Lviv, 2003, P. 487-488.
  23. O. V. Gutik, and K. P. Pavlyk, Topological Brandt $\lambda_0$-extensions of topological semigroups with zero, IV International Scientific Conference "Mathematical Problems of the Mechanics of Non-Homogeneous Structures". Lviv, May 26-29, 2003. Proceedings. Lviv, 2003, P. 489-490.
  24. O. V. Gutik, and K. P. Pavlyk, On $H$-closed topological semigroups and Brandt $\lambda_0$-extensions, International Conference "Complex Analysis and its applications". Lviv, May 26-29, 2003. Abstracts. Lviv, 2003, P. 29-30.
  25. T. O. Banakh, O. V. Gutik, and M. Rajagopalan, Compatible algebraic structures on scattered compacta, V Iberoamerican Conference on General Topology and its Applications. CITA-2003. Lorca, June 10-14, 2003. Lorca, 2003, P. 61.
  26. O. V. Gutik, On H-closed topological semigroups, First Summer School on Topological Algebra and Functional Analysis. Lviv-Kozeva, July 22-31, 2003. Lviv, 2003, P. 23-24.
  27. T. Banakh, O. Gutik, and M. Rajagopalan, Compatible algebraic structures on scattered compacta, IV International Algebraic Conference in Ukraine. Lviv, August 4-9, 2003. Abstracts. Lviv, 2003, P. 29-30.
  28. O. V. Gutik, and K. P. Pavlyk, On Brandt $\lambda_0$-extensions of semigroups with zero, IV International Algebraic Conference in Ukraine. Lviv, August 4-9, 2003. Abstracts. Lviv, 2003, P. 88-89.
  29. O. V. Gutik, On some topological version of the Rees Quotient Theorem , International Conference "6th Bogolyubov Readings". Chernivts, August 26-30, 2003. Abstracts of Reports. Kyiv, 2003, P. 280.
  30. O. V. Gutik, and Yu. M. Livach, Embeddings of topological semigroups , Conference of Young Scientists on Modern Problems in Mechanics and Mathematics. Lviv, May 24-26, 2004. Abstracts of Reports. Lviv, 2004, P. 65-66 (in Ukrainian).
  31. O. V. Gutik, and K. P. Pavlyk, Compact congruence-free topological semigroups, International Conference "Geometric Topology: Infinite-Dimensional Topology, Absolute Extensors, Applications". Lviv, May 26-30, 2004. Book of Abstracts. Lviv, 2004, P. 24-26.
  32. O. Gutik, and K. Pavlyk, On compact congruence-free topological inverse semigroups, International Conference dedicated to the 125-th anniversary of Hans Hahn. Chernivtsi. June 27-July 3, 2004. Book of Abstracts. Chernivtsi, 2004, P. 128-130.
  33. O. V. Gutik, Topological inverse semigroups, Second Summer School in Algebra and Topology. Lviv-Dolyna, August 2-14, 2004. Programs of Invited Lectures and Abstracts of Research Reports. Lviv, 2004, P. 6.
  34. O. V. Gutik, On linearly ordered $H$-closed topological semilattices, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics. Lviv, May 24-27, 2005. Abstracts of Reports. Lviv, 2005, P. 245-246.
  35. O. V. Gutik, and K. Pavlyk, On compact semitopological semigroups of matrix units, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics. Lviv, May 24-27, 2005. Abstracts of Reports. Lviv, 2005, P. 247-248.
  36. O. V. Gutik, On $H$-closed topological semilattices, Fifth International Algebraic Conference in Ukraine. Odessa, July 20-27, 2005. Abstracts. Odessa, 2005. P. 82.
  37. O. V. Gutik, and K. P. Pavlyk, On absolutely $H$-closed topological semigroups and Brandt $\lambda_0$-extensions, Fifth International Algebraic Conference in Ukraine. Odessa, July 20-27, 2005. Abstracts. Odessa, 2005. P. 83-84.
  38. O. Gutik, and K. Pavlyk, Pseudo-compact semitopological semigroups of matrix units, Third Summer School in Algebra, Analysis and Topology. Lviv-Kozyova, August 9-20, 2005. Invited Lectures and Abstracts of Research Reports. Lviv, 2005. P. 137-139.
  39. O. V. Gutik, and V. Ye. Mel’nyk, On homomorphisms of cancellative topological semigroups, Fourth Summer School “Algebra, Topology, Functional and Stochastic Analysis”, Lviv-Kozyova July 17-29, 2006. Invited Lectures and Abstracts of Research Reports, Lviv, 2006, C. 139.
  40. O. V. Gutik, and K. P. Pavlyk, On Brandt $\lambda^0$-extensions of topological semigroups with zero, Fourth Summer School “Algebra, Topology, Functional and Stochastic Analysis”, Lviv-Kozyova July 17-29, 2006. Invited Lectures and Abstracts of Research Reports, Lviv, 2006, C. 139-142.
  41. I. Chuchman, and O. Gutik, $H$-closed topological semigroups and semilattices, 6th International Algebraic Conference in Ukraine. Kamyanets-Podil’sky, July 1-7, 2007. Abstracts. Kamyanets-Podil’sky, 2007, P. 49-51.
  42. O. Gutik, and K. Pavlyk, Brandt $\lambda^0$-extensions and $H$-closed topological semigroups, 6th International Algebraic Conference in Ukraine. Kamyanets-Podil’sky, July 1-7, 2007. Abstracts. Kamyanets-Podil’sky, 2007, P. 88-90.
  43. O. Gutik, and D. Repovš, On countably compact 0-simple topological inverse semigroups, 6th International Algebraic Conference in Ukraine. Kamyanets-Podil’sky, July 1-7, 2007. Abstracts. Kamyanets-Podil’sky, 2007, P. 90-92.
  44. O. Gutik, and I. Chuchman, On $H$-closed topological semilattices, Conference on Algorithmic Complexity and Universal Algebra. Dedicated to 75th birthday of Bela Csakany. Szeged, Hungary, July 16-20, 2007. Abstracts. Bolyai Institute, University of Szeged, 2007, P. 5-6.
  45. O. Gutik, and A. Reiter, On countably compact Frechet-Urysohn coungruence-free topological semigroups, Fifth Summer School ''Algebra, Topology and Analysis''. Lviv-Kozyova, August 6-18, 2007. Invited Lectures and Abstracts of Research Reports, Lviv, 2007, C. 40-41.
  46. O. Gutik, and A. Reiter, On Brandt $\lambda-\mu$-extensions of semigroups, International Conference “Modern Problems in Mechanics and Mathematics”. Lviv, May, 25-29, 2008. Preceedings. In 3 volumes. Vol. 3. Lviv, 2008, P. 212-214.
  47. O. Gutik, and D. Repovš, On linearly ordered H-closed topological semilattices, International Conference “Analysis and Topology”. Lviv, June 2-7, 2008. Abstracts. Part II. Topology. Lviv, 2008, P. 26-27.
  48. K. Pavlyk, and O. Gutik, Countably compact primitive topological inverse semigrous, International Conference “Analysis and Topology”. Lviv, June 2-7, 2008. Abstracts. Part II. Topology. Lviv, 2008, P. 48-49.
  49. A. Reiter, and O. Gutik, On a topological semigrou finite transformations of a Hausdorff topological space, International Conference “Analysis and Topology”. Lviv, June 2-7, 2008. Abstracts. Part II. Topology. Lviv, 2008, P. 59-60.
  50. O. Gutik, and K. Pavlyk, Brandt extensions and primitive topological inverse semigroupss, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics dedicated to Academician Ya. S. Pidstrygach, Lviv, May 25-27, 2009. Abstracts of Reports, Lviv (2009) 191-193.
  51. O. Gutik, and A. Reiter, Topological finite symmetric inverse semigroups, Conference of Young Scientists on Modern Problems in Mechanics and Mathematics dedicated to Academician Ya. S. Pidstrygach, Lviv, May 25-27, 2009. Abstracts of Reports, Lviv (2009) 193-194.
  52. O. Gutik, D. Pagon, and D. Repovš, The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups, International Conference Infinite Dimensional Analysis And Topology, May 27-June 1, 2009, Ivano-Frankivsk. Abstracts of Reports. Ivano-Frankivsk, 2009. P. 52-55.
  53. O. Gutik, and K. Pavlyk, On countably compact Brandt $\lambda^0$-extensions of topological semigroups, International Conference Infinite Dimensional Analysis And Topology, May 27-June 1, 2009, Ivano-Frankivsk. Abstracts of Reports. Ivano-Frankivsk, 2009. P. 55-58.
  54. O. Gutik, and A. Reiter, On embeddings and the H-closedness of topological semigroups of partial finite bijections, International Conference "Infinite Dimensional Analysis And Topology", May 27-June 1, 2009, Ivano-Frankivsk. Abstracts of Reports. Ivano-Frankivsk, 2009. P. 58-61.
  55. O. Gutik, and A. Reiter, On absolute H-closedness of topological semigroups of partial finite bijections, International Conference dedicated to 100th Anniversary of M. M. Bogolyubov and 70th Annivesary of M. I. Nagnybida, June 8-13, 2009, Chernivtsi. Abstracts of Reports. Chernivtsi, 2009. P. 235-236.
  56. T. Banakh, S. Dimitrova, and O. Gutik, The Rees-Suschkewitsch Theorem for simple topological semigroups, 7th Algebraic Conference in Ukraine, 18-23 August, 2009. Kharkov. Abstract of Talks. Kharkov, 2009, P. 18-20.
  57. O. Gutik, J. Lawson, and D. Repovš, Semigroup closures of finite rank symmetric inverse semigroups, 7th Algebraic Conference in Ukraine, 18-23 August, 2009. Kharkov. Abstract of Talks. Kharkov, 2009, P. 63-64.
  58. K. Pavlyk, O. Gutik, and A. Reiter, On topological semigroups of matrix units, The 14th general meeting of EWM, August 25-28, 2009, Novi Sad, Serbia. Book of Abstracts 2. Novi Sad, 2009. http://ewm2009.files.wordpress.com/2009/08/abstracts26.pdf.
  59. O. Gutik, D. Pagon, and D. Repovš, On sequential countably compact topological semigroups, Ukrainian Mathematical Congress - 2009, Kyiv, Institute of Mathematics of NASU, August 27-29, 2009. http://www.imath.kiev.ua/~congress2009/Abstracts/Gutik.pdf.
  60. O. V. Gutik, and K. P. Pavlyk, On pseudocompact topological inverse Brandt semigroups, Pidstryhach Conference 2010, May 25-26, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc2010-02-GP-07.pdf.
  61. O. V. Gutik, and A. R. Reiter, On semitopological symmetric inverse semigroups of a bounded finite rank, Pidstryhach Conference 2010, May 25-26, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc2010-02-GR-08.pdf.
  62. O. V. Gutik, and I. Figel', On embedings of topological semigroups into idempotent-generated semigroups, Pidstryhach Conference 2010, May 25-26, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc2010-02-GF-09.pdf.
  63. I. Ya. Chuchman, and O. V. Gutik, Topological monoids of almost monotone injective cofinite partial selfmaps of positive integers, Pidstryhach Conference 2010, May 25-26, 2010, Lviv, http://www.iapmm.lviv.ua/chyt2010/materials/pc2010-02-CG-38.pdf.
  64. I. Chuchman, and O. Gutik, Topological monoids of almost monotone injective cofinite partial selfmaps of positive integers, Conference on complex analysis dedicated to the memory of A. A. Goldberg (1930-2008). Lviv, Ukraine, May 31-June 5, 2010. Abstracts. Lviv, 2010, P. 8-9.
  65. O. Gutik, and D. Repovš, Brandt $\lambda^0$-extensions of monoids with zero, AAA80 Workshop on General Algebra in connection with the Workshop on Non-Classical Algebraic Structures, June 1-6, 2010, Bedlewo, Poland. Abstracts. Warsaw, 2010. P. 79-82, http://www.mini.pw.edu.pl/aaa80/abstractsaaa80/19.pdf.
  66. O. Gutik, and K. Pavlyk, On some semigroup constructions, AAA80 Workshop on General Algebra in connection with the Workshop on Non-Classical Algebraic Structures, June 1-6, 2010, Bedlewo, Poland. Abstracts. Warsaw, 2010. P. 139, http://www.mini.pw.edu.pl/aaa80/abstractsaaa80/37.pdf.
  67. I. Chuchman, and O. Gutik, Topological inverse monoids of almost monotone injective co-finite par¬tial selfmaps of positive integers, Summer School Algebra, Analysis and Topology, 5 July-16 July, 2010, Verkhovyna. Ivano-Frankivsk, 2010, P. 13-15.
  68. O. Gutik, and A. Reiter, On semitopological inverse semigroups of a bounded finite rank, Summer School Algebra, Analysis and Topology, 5 July-16 July, 2010, Verkhovyna. Ivano-Frankivsk, 2010, P. 16-18.
  69. I. Chuchman, and O. Gutik, On monoids of almost identity injective partial selfmaps, International Conference "Modern Problems of Analysis". Dedicated to 70th Anniversary of the Chair of Mathematical Analysis at Chernivtsi University, 30 September-3 October, 2010, Chernivtsi. Abstracts of Reports, Chernivtsi, 2010, P. 156-157.
  70. O. Gutik, On chains in H-closed pospaces, International Conference "Modern Problems of Analysis". Dedicated to 70th Anniversary of the Chair of Mathematical Analysis at Chernivtsi University, 30 September-3 October, 2010, Chernivtsi. Abstracts of Reports, Chernivtsi, 2010, P. 162-164.
  71. I. Chuchman, and O. Gutik, On Bohr compactifications of some topological semigroups, International Conference on Functional Analysis Dedicated to 90th Anniversary of V. E. Lyantse, L'viv, Ukraine, November 17-21, 2010. L'viv, 2010, P. 32-33.
  72. O. Gutik, Continuity of the inversion and closures of subsemigroups in topological semigroups, International Conference on Functional Analysis Dedicated to 90th Anniversary of V. E. Lyantse, L'viv, Ukraine, November 17-21, 2010. L'viv, 2010, P. 42.
  73. O. Gutik, K. Pavlyk, and A. Reiter, On complete Brandt $\lambda^0$-extensions of topological semigroups, International Conference on Functional Analysis Dedicated to 90th Anniversary of V. E. Lyantse, L'viv, Ukraine, November 17-21, 2010. L'viv, 2010, P. 43-44.
  74. O. Gutik, and K. Pavlyk, On semigroups generated by partial translations of a positive cone of a linearly ordered group, IV Conference of Young Scientists on Modern Problems in Mechanics and Mathematics dedicated to Academician Ya. S. Pidstrygach, Lviv, May 24-27, 2011. Abstracts of Reports, Lviv, 2011, P. 261-262.
  75. O. Gutik, On semigroups of (almost) monotone injective partial selfmaps of integers with cofinite domains and images, 8th International Algebraic Conference in Ukraine dedicated to the 60th anniversary of Prof. V. M. Usenko, Luhansk, July 5-12, 2011. Book of Abtracts. Luhansk, 2011, P. 255.
  76. I. Figel', and O. Gutik, On a topological semigroup $\mathscr{C}_{\mathbb{Z}}$, 8th Summer School "Algebra, Analysis, Topology and Applications", Lazurne, Kherson Region, July 5-15, 2011. Book of Abtracts. Kherson, 2011, P. 13-14.
  77. O. Gutik, On a semigroup of injective partial cofinite selfmaps, 8th Summer School "Algebra, Analysis, Topology and Applications", Lazurne, Kherson Region, July 5-15, 2011. Book of Abtracts. Kherson, 2011, P. 16-17.
  78. O. Gutik, and K. Pavlyk, Congruences on bicyclic extensions of linearly ordered groups, 8th Summer School "Algebra, Analysis, Topology and Applications", Lazurne, Kherson Region, July 5-15, 2011. Book of Abtracts. Kherson, 2011, P. 17-18.

Other Conference Reports

  1. On the bands of compact inverse semigroups with open translations, All Ukrainian Scientific Conference "Development and Applications of Mathematical Methods in Scientific Research", Lviv, October 3-7, 1995.
  2. On compact semilattices with open principal ideals, Forth International Conference "Groups and Group Rings", Velykyi Lyubin, September 17-21, 1996.
  3. On homomorphisms of topological semigroups, Forth International Conference Dedicated to 100th Anniversary of Rene Baer Dissertation, Ukraine, Chernivtsi, September 15-17, 1999.
  4. Topological semigroups of matrix units, Summer School on Algebra and Ordered Sets, Czech Republic, Radejov, September 2-9, 2006.
  5. H-closed topological semigroups and semilattices, 8th Conference "Geometry and Topology of Manifolds", Poland-Ukraine, Przemysl-Lviv, April 30- May 6, 2007.

Particapant of Conferences (Posters)

  1. The Second Europian Set Theory Metting: In Honnor of Ronald Jensen", July 5-10, 2009, Bedlewo, Poland.
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