Research Articles

  1. Gavrylkiv V. The spaces of inclusion hyperspaces over non-compact spaces, Mat. Stud. 28(1) (2007), 92-110.
  2. Gavrylkiv V. Right-topological semigroup operations on inclusion hyperspaces, Mat. Stud. 29(1) (2008), 18-34.
  3. Banakh T., Gavrylkiv V., Nykyforchyn O. Algebra in superextensions of groups, I: zeros and commutativity, Algebra Discrete Math. 7(3) (2008), 1-29.
  4. Banakh T., Gavrylkiv V. Algebra in superextension of groups, II: cancelativity and centers, Algebra Discrete Math. 7(4) (2008), 1-14.
  5. Banakh T., Gavrylkiv V. Algebra in the superextensions of groups: minimal left ideals, Mat. Stud. 31(2) (2009), 142-148.
  6. Banakh T., Gavrylkiv V. Extending binary operations to functor-spaces, Carpathian Math. Publ. 1(2) (2009), 113-126.
  7. Gavrylkiv V. On representation of semigroups of inclusion hyperspaces, Carpathian Math. Publ. 2(1) (2010), 24-34.
  8. Banakh T., Gavrylkiv V. Algebra in Superextensions of Twinic Groups, Dissertationes Math. 473 (2010), 74 pp. 10.4064/dm473-0-1
  9. Banakh T., Gavrylkiv V. Algebra in superextensions of semilattices, Algebra Discrete Math. 13(1) (2012), 26-42.
  10. Banakh T., Gavrylkiv V. Algebra in superextensions of inverse semigroups, Algebra Discrete Math. 13(2) (2012), 147-168.
  11. Gavrylkiv V. Monotone families on cyclic semigroups, PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number 17(1) (2012), 35-45. (in Ukrainian)
  12. Gavrylkiv V. Superextensions of cyclic semigroups, Carpathian Math. Publ. 5(1) (2013), 36-43. 10.15330/cmp.5.1.36-43
  13. Banakh T., Gavrylkiv V. Characterizing semigroups with commutative superextensions, Algebra Discrete Math. 17(2) (2014), 161-192.
  14. Gavrylkiv V. Semigroups of linked upfamilies, PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number 29(1) (2015), 104-112. 
  15. Gavrylkiv V. Semigroups of centered upfamilies on finite monogenic semigroups, J. Algebra, Number Theory: Adv. App. 16(2) (2016), 71-84. 10.18642/jantaa_7100121719
  16. Gavrylkiv V. Semigroups of centered upfamilies on groups, Lobachevskii J. Math. 38(3) (2017), 420-428. 10.1134/S1995080217030106
  17. Banakh T., Gavrylkiv V. On structure of the semigroups of k-linked upfamilies on groups, Asian-European J. Math. 10(4), 1750083 (2017) [15 pages] 10.1142/S1793557117500838
  18. Gavrylkiv V. Superextensions of three-element semigroups, Carpathian Math. Publ. 9(1) (2017), 28-36. 10.15330/cmp.9.1.28-36
  19. Gavrylkiv V. On the automorphism group of the superextension of a semigroup, Mat. Stud. 48(1) (2017), 3-13. 10.15330/ms.48.1.3-13
  20. Banakh T., Gavrylkiv V. Automorphism groups of superextensions of groups, Mat. Stud. 48(2) (2017), 134-142. 10.15330/ms.48.2.134-142
  21. Gavrylkiv V. Bases in dihedral and Boolean groups, J. Integer Seq. 20(8) (2017), Article 17.8.1.
  22. Gavrylkiv V. Automorphisms of semigroups of k-linked upfamilies, Ukrainian Math. Bull. 14(4) (2017), 496-514.
  23. Gavrylkiv V. Automorphisms of semigroups of k-linked upfamilies, J. Math. Sci. (New York) 234(1) (2018), 21-34. (Translated from Ukrainian Math. Bull.)  10.1007/s10958-018-3978-7
  24. Banakh T., Gavrylkiv V. Difference bases in dihedral groups, Int. J. Group Theory 8(1) (2019), 43-50. 10.22108/IJGT.2017.21612
  25. Banakh T., Gavrylkiv V. Difference bases in cyclic groups, J. Algebra Appl. 18(5), 1950081 (2019) [18 pages] 10.1142/S0219498819500816
  26. Banakh T., Gavrylkiv V. Difference bases in finite Abelian groups, Acta Sci. Math. (Szeged) 85(1-2) (2019), 119-137. 10.14232/actasm-017-586-x
  27. Banakh T., Gavrylkiv V. Automorphism groups of superextensions of finite monogenic semigroups, Algebra Discrete Math. 27(2) (2019), 165-190.
  28. Gavrylkiv V., Rendziak D. Interassociativity and three-element doppelsemigroups, Algebra Discrete Math. 28(2) (2019), 224-247.
  29. Gavrylkiv V. Automorphism groups of semigroups of upfamilies, Asian-European J. Math. 13(1), 2050099 (2020) [17 pages] 10.1142/S1793557120500990
  30. Banakh T., Gavrylkiv V. Bases in finite groups of small order, Carpathian Math. Publ. 13(1) (2021), 149-159. 10.15330/cmp.13.1.149-159
  31. Gavrylkiv V. Note on cyclic doppelsemigroups, Algebra Discrete Math. 34(1) (2022), 15-21. 10.12958/adm1991
  32. Gavrylkiv V. M. On the upfamily extension of a doppelsemigroup, Mat. Stud. 61(2) (2024), 123-135. 10.30970/ms.61.2.123-135
  33. Gavrylkiv V. M.  Classifications of dimonoids with at most three elements, Ukr. Math. Bull. 22(3) (2025), 359-376. 10.37069/1810-3200-2025-22-3-3
  34. Gavrylkiv V. M.  Classifications of dimonoids with at most three elements, J. Math. Sci. (New York) 294(5) (2025), 697-710. 10.1007/s10958-025-08126-z (Translated from Ukrainian Math. Bull.)
  35. Gavrylkiv V. M.  Superextensions of doppelsemigroups, Carpathian Math. Publ. 17(2) (2025), 591-603. 10.15330/cmp.17.2.591-603
  36. Gavrylkiv V. M.  On some classes of non-commutative dimonoids, Ukrains’kyi Matematychnyi Zhurnal 77(12) (2025), 703-714. (in Ukrainian) 10.3842/umzh.v77i12.9209
  37. Gavrylkiv V. M.  On some classes of noncommutative dimonoids, Ukr. Math. J. 77(12) (2025), 1563–1577. 10.1007/s11253-025-02541-w (Translated from Ukrains’kyi Matematychnyi Zhurnal)
  38. Gavrylkiv V. M. Doppelsemigroups of k-linked upfamilies, J. Algebra Appl. 25, 2650207 (2026) [16 pages] 10.1142/S0219498826502075
  39. Gavrylkiv V. M. On rectangular ideal extensions of left zero semigroups by null semigroups, Semigroup Forum 113(1) (2026), ?–?. 10.1007/s00233-026-10632-8
  40. Gavrylkiv V. M. On the number of g-dimonoids of small order, Mat. Stud. 66(1) (2026), ?–?. 10.30970/ms.61.2.123-135
  41. Gavrylkiv V. M. Note on the number of doppelsemigroups of small order, Res. Math. 34(1) (2026), 16–33. 10.15421/242602
  42. Gavrylkiv V. M. On dimonoids of small order, Commun. Algebra (to appear)
  43. Gavrylkiv V. M. On certain classes of nonisomorphic rectangular doppelsemigroups, (submitted)