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List of textbooks

  1. Gavrylkiv V. Formal Languages and Algorithmic Models (Holiney, Ivano-Frankivsk, 2012).

  2. Gavrylkiv V. Regular Expressions for Software (Holiney, Ivano-Frankivsk, 2012).

  3. Gavrylkiv V. Software for parsing of texts (Holiney, Ivano-Frankivsk, 2013).

  4. A collection of test tasks / Edited by R. A. Zatorsky (Holiney, Ivano-Frankivsk, 2014).

  5. Gavrylkiv V. Elements of Group Theory and Ring Theory (Holiney, Ivano-Frankivsk, 2016)

 
   

List of scientific publications

  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. 3 (2008), 1-29.

  4. Banakh T., Gavrylkiv V. Algebra in superextension of groups, II: cancelativity and centers, Algebra Discrete Math. 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. Algebra in the superextensions of groups, IV: representation theory, preprint arXiv:0811.0796v2.

  7. Banakh T., Gavrylkiv V. Extending binary operations to functor-spaces, Carpathian Math. Publ. 1(2) (2009), 113-126.

  8. Gavrylkiv V. On representation of semigroups of inclusion hyperspaces, Carpathian Math. Publ. 2(1) (2010), 24-34.

  9. Banakh T., Gavrylkiv V. Algebra in Superextensions of Twinic Groups, Dissertationes Math. 473 (2010), 74 pp.

  10. Banakh T., Gavrylkiv V. Algebra in superextensions of semilattices, Algebra Discrete Math. 13(1) (2012), 26-42.

  11. Banakh T., Gavrylkiv V. Algebra in superextensions of inverse semigroups, Algebra Discrete Math. 13(2) (2012), 147-168.

  12. Gavrylkiv V. Monotone families on cyclic semigroups, Precarpathian Bull. Shevchenko Sci. Soc. 17(1) (2012), 35-45.

  13. Gavrylkiv V. Superextensions of cyclic semigroups, Carpathian Math. Publ. 5(1) (2013), 36-43.

  14. Banakh T., Gavrylkiv V. Characterizing semigroups with commutative superextensions, Algebra Discrete Math. 17(2) (2014), 161-192.

  15. Gavrylkiv V. Semigroups of linked upfamilies, Precarpathian Bull. Shevchenko Sci. Soc. 29(1) (2015), 104-112.

  16. Gavrylkiv V. Semigroups of centered upfamilies on finite monogenic semigroups, J. Algebra, Number Theory: Adv. App. 16(2) (2016), 71-84.

  17. Gavrylkiv V. Semigroups of centered upfamilies on groups, Lobachevskii J. Math. 38(3) (2017), 420-428.

  18. 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]

  19. Gavrylkiv V. Superextensions of three-element semigroups, Carpathian Math. Publ. 9(1) (2017), 28-36.

  20. Gavrylkiv V. On the automorphism group of the superextension of a semigroup, Mat. Stud. 48(1) (2017), 3-13.

  21. Banakh T., Gavrylkiv V. Automorphism groups of superextensions of groups, Mat. Stud. 48(2) (2017).

  22. Gavrylkiv V. Bases in dihedral and Boolean groups, J. Integer Seq. 20(8) (2017), Article 17.8.1.

  23. Gavrylkiv V. Automorphisms of semigroups of k-linked upfamilies, Ukrainian Math. Bull. 14(4) (2017), 496-514.

  24. Gavrylkiv V. Automorphisms of semigroups of k-linked upfamilies, J. Math. Sci. (N. Y.) 2??(?) (2018) (Translated from Ukrainian Math. Bull.)

  25. Banakh T., Gavrylkiv V. Difference bases in finite Abelian groups, Acta Sci. Math. (Szeged) 84(?) (2018)

  26. Banakh T., Gavrylkiv V. Difference bases in dihedral groups, Int. J. Group Theory 8(?) (2019)

  27. Banakh T., Gavrylkiv V. Difference bases in cyclic groups, J. Algebra Appl. 18(?), 1950081 (2019) [18 pages]

  28. Banakh T., Gavrylkiv V. Automorphism groups of superextensions of finite monogenic semigroups, (Submitted)

  29. Gavrylkiv V. Automorphism groups of semigroups of upfamilies, (Submitted)

 
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