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    Izv. Ross. Akad. Nauk Ser. Mat., to appear. (with M.V. Zaicev)
  2. Coideals as remainders of groups distinguishing between combinatorial covering properties,
    Topology Appl. 340 (2023), art. 108725, 15 pp. (with G. Molica Bisci and L. Zdomskyy)
  3. On existence of PI-exponent of algebras with involution,
    J. Algebra 614 (2023), 5-19. (with M.V. Zaicev)
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  4. On some generalization of the bicyclic semigroup: the topological version,
    Visn. L’viv. Univ., Ser. Mekh.-Mat. No. 94 (2022), 56-71. (with M. Cencelj and O. Gutik)
  5. On well-splitting posets,
    Arch. Math. Logic 61:7-8 (2022), 995-1005. (with L. Zdomskyy)
    MR 4495911, Zbl 07603655
  6. Colength growth functions of nonassociative algebras,
    Math. Notes 109:3 (2021), 405-412. (with M.V. Zaicev)
    MR 4223925, Zbl 1490.17006.
  7. On existence of PI-exponents of unital algebras,
    Electron. Res. Arch. 28:2 (2020), 853-859. (with M.V. Zaicev)
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  8. M-separable spaces of functions are productive in the Miller model,
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  9. The theory of formal languages and indentities of nonassociative algebras,
    Sib. Math. J. 61:2 (2020), 255-260. (with M.V. Zaicev)
    MR 4188392, Zbl 1477.17007.
  10. Identities on algebras and combinatorial properties of binary words,
    Dokl. Math. 100:3 (2019), 558-559. (with M.V. Zaicev)
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  11. Preservation of γ-spaces and covering properties of products,
    Proc. Amer. Math. Soc. 147: 11 (2019), 4979-4985. (with L. Zdomskyy)
    MR 4011529, Zbl 1452.03104.
  12. Combinatorics of binary words and codimensions of identities in left nilpotent algebras,
    Algebra and Logic 58:1 (2019), 23-35. (with M.V. Zaicev)
    MR 3994316, Zbl 1471.17025.
  13. Codimension growth of solvable Lie superalgebras,
    J. Lie Theory 28:4 (2018), 1189-1199. (with M.V. Zaicev)
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  14. 2-graded codimensions of unital algebras,
    Internat. J. Algebra Comput. 28:3 (2018), 483-500. (with M.V. Zaicev)
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  15. Products of H-separable spaces in the Laver model,
    Topology Appl. 239 (2018), 115-119. (with L. Zdomskyy)
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  16. Pauli gradings on Lie superalgebras and graded codimension growth,
    Linear Algebra Appl. 520:1 (2017), 134-150. (with M.V. Zaicev)
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  17. Identities of graded simple algebras,
    Linear Multilinear Algebra 65:1 (2017), 44-57. (with M. Zaicev)
    MR 3575877, Zbl 1373.17007.
  18. Products of Hurewicz spaces in the Laver model,
    Bull. Symb. Log. 23:3 (2017), 324-333. (with L. Zdomskyy)
    MR 3732200, Zbl 1421.03024.
  19. Non-meager free sets and independent families,
    Proc. Amer. Math. Soc. 145:9 (2017), 4061-4073. (with A. Medini and L. Zdomskyy)
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  20. Graded PI-exponents of simple Lie superalgebras,
    Ark. Mat. 54:1 (2016), 147-156. (with M. Zaicev)
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  21. Exponential growth of codimensions of identities of algebras with unity,
    Sb. Math. 206:10 (2015), 1440-1462. (with M.V. Zaicev)
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  22. Numerical invariants of identities of unital algebras,
    Comm. Algebra 43:9 (2015), 3823-3839. (with M. Zaicev)
    MR 3360850, Zbl 1335.16014.
  23. Graded codimensions of Lie superalgebra b(2),
    J. Algebra 422 (2015), 1-10. (with M. Zaicev)
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  24. On monoids of injective partial cofinite selfmaps,
    Math. Slovaca 65:5 (2015), 981-992. (with O. Gutik)
    MR 3433049, Zbl 1363.20058.
  25. Mathias forcing and combinatorial covering properties of filters,
    J. Symb. Log. 80:4 (2015), 1398-1410. (with D. Chodounský and L. Zdomskyy)
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  26. Graded identities of some simple Lie superalgebras,
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  27. A four-dimensional simple algebra with fractional PI-exponent,
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  28. L-convexity and lattice-valued capacities,
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  29. Countable dense homogeneous filters and the Menger covering property,
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  30. Productively Lindelöf spaces and the covering property of Hurewicz,
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  31. Group gradings on finite dimensional Lie algebras,
    Algebra Colloq. 20:4 (2013), 573-578. (with D. Pagon and M. Zaicev)
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  32. On the codimension growth of almost nilpotent Lie algebras,
    Israel J. Math. 194:1 (2013), 137-150. (with M. Zaicev)
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  33. On identities of infinite dimensional Lie superalgebras,
    Proc. Amer. Math. Soc. 141:12 (2013), 4139-4153. (with M. Zaicev)
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  34. Liftings of normal functors in the category of compacta to categories of topological algebra and analysis,
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  35. On the codimension growth of simple color Lie superalgebras,
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  36. On monoids of monotone injective partial selfmaps of integers with cofinite domains and images,
    Georgian Math. J. 19:3 (2012), 511-532. (with O. Gutik)
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  37. L-fuzzy strongest postcondition predicate transformers as L-idempotent linear or affine operators between semimodules of monotonic predicates,
    Fuzzy Sets and Systems 208 (2012), 67-78. (with O. Nykyforchyn)
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    Proc. Amer. Math. Soc. 140:3 (2012), 1069-1074. (with L. Zdomskyy)
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  39. Topological monoids of monotone injective partial selfmaps of ℕ with cofinite domain and image,
    Studia Sci. Math. Hungar. 48:3 (2011), 342-353. (with O. Gutik)
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  40. Characterizing compact Clifford semigroups that embed into convolution and functor-semigroups,
    Semigroup Forum 83:1 (2011), 123-133. (with T. Banakh, M. Cencelj and O. Hryniv)
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  41. Idempotent convexity and algebras for the capacity monad and its submonads,
    Appl. Categ. Structures 19:4 (2011), 709-727. (with O. Nykyforchyn)
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  42. Fuzzy Prokhorov metric on the set of probability measures,
    Fuzzy Sets and Systems 175:1 (2011), 96-104. (with A. Savchenko and M. Zarichnyi)
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  43. Ambiguous representations as fuzzy relations between sets,
    Fuzzy Sets and Systems 173:1 (2011), 25-44. (with O. Nykyforchyn)
    MR 2012e:54008, Zbl 1226.03054 .
  44. On the length of chains of proper subgroups covering a topological group,
    Arch. Math. Logic 50:3-4 (2011), 411-421. (with T. Banakh and L. Zdomskyy)
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  45. Symmetric monochromatic subsets in colorings of the Lobachevsky plane,
    Discrete Math. Theoret. Comput. Sci. 12:1 (2010), 12-20. (with T. Banakh and A. Dudko)
    MR 2654251, Zbl 1227.05061.
  46. Nonlinear mappings preserving at least one eigenvalue,
    Studia Math. 200:1 (2010), 79-89. (with C. Costara)
    MR 2012a:15013, Zbl 1216.47069.
  47. Spectral isometries onto algebras having a separating family of finite-dimensional irreducible representations,
    J. Math. Anal. Appl. 365:2 (2010), 605-608. (with C. Costara)
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  48. Inclusion hyperspaces and capacities on Tychonoff spaces: Functors and monads,
    Topology Appl. 157:15 (2010), 2421-2434. (with O. Nykyforchyn)
    MR 2011h:54017 , Zbl 1222.54014.
  49. On chains in H-closed topological pospaces,
    Order 27:1 (2010), 69-81. (with O. Gutik and D. Pagon)
    MR 2011a:54037 , Zbl 1221.06021.
  50. On the Brandt λ0-extensions of monoids with zero,
    Semigroup Forum 80:1 (2010), 8-32. (with O. Gutik)
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  51. On M-separability of countable spaces and function spaces,
    Topology Appl. 157:16 (2010), 2538-2541. (with L. Zdomskyy)
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  52. o-Boundedness of free topological groups,
    Topology Appl. 157:2 (2010), 466-481. (with T. Banakh and L. Zdomskyy)
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  53. A new Lindelöf topological group,
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  54. Packing index of subsets in Polish groups,
    Notre Dame J. Form. Log. 50: 4 (2009), 453-468. (with T. Banakh and N. Lyaskovska)
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  55. The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups,
    Acta Math. Hungar. 124:3 (2009), 201-214. (with O. Gutik and D. Pagon)
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  56. Semigroup closures of finite rank symmetric inverse semigroups,
    Semigroup Forum 78:2 (2009), 326-336. (with O. Gutik and J. Lawson)
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  57. On linearly ordered H-closed topological semilattices,
    Semigroup Forum 77:3 (2008), 474-481. (with O. Gutik)
    MR 2009i:54063 , Zbl 1166.22003.
  58. Continuous selections and σ-spaces,
    Topology Appl. 156:1 (2008), 104-109. (with B. Tsaban and L. Zdomskyy)
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    J. Pure Appl. Algebra 212:9 (2008), 2105-2114. (with T. Banakh and L. Zdomskyy)
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    Proc. Amer. Math. Soc. 136:7 (2008), 2515-2520. (with B. Tsaban and L. Zdomskyy)
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    Semigroup Forum 75:2 (2007), 464-469. (with O. Gutik)
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    Discrete Appl. Math. 150:1-3 (2005), 256-260. (with A. Skopenkov and F. Spaggiari)
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    Math. Notes 77:1 (2005), 108-111. (with M. Cencelj and M. Skopenkov)
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  64. On the Randić connectivity index and physical properties of alkanes,
    Proc. Symp. Contemporary Mathematics, N. Bokan Ed., Univ. of Belgrade, Belgrade 2000, pp. 105-111.
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