1. On the interplay between productively Menger and productively Hurewicz spaces in models of 𝔟=𝔡,
    Topology Appl., to appear. (with L. Zdomskyy)
  2. Codimensions of identities of solvable Lie superalgebras,
    Izv. Ross. Akad. Nauk Ser. Mat. 88:4 (2024), 639-654. (with M.V. Zaicev)
  3. 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)
  4. On existence of PI-exponent of algebras with involution,
    J. Algebra 614 (2023), 5-19. (with M.V. Zaicev)
    MR 4494547, Zbl 07615763.
  5. 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)
  6. On well-splitting posets,
    Arch. Math. Logic 61:7-8 (2022), 995-1005. (with L. Zdomskyy)
    MR 4495911, Zbl 07603655
  7. Colength growth functions of nonassociative algebras,
    Math. Notes 109:3 (2021), 405-412. (with M.V. Zaicev)
    MR 4223925, Zbl 1490.17006.
  8. On existence of PI-exponents of unital algebras,
    Electron. Res. Arch. 28:2 (2020), 853-859. (with M.V. Zaicev)
    MR 4128398, Zbl 1446.16026.
  9. M-separable spaces of functions are productive in the Miller model,
    Ann. Pure Appl. Logic 171:7 (2020), art. 102806, 8 pp. (with L. Zdomskyy)
    MR 4099834, Zbl 1481.03056.
  10. 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.
  11. Identities on algebras and combinatorial properties of binary words,
    Dokl. Math. 100:3 (2019), 558-559. (with M.V. Zaicev)
    Zbl 1477.17006.
  12. 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.
  13. 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.
  14. Codimension growth of solvable Lie superalgebras,
    J. Lie Theory 28:4 (2018), 1189-1199. (with M.V. Zaicev)
    MR 3863898, Zbl 1441.17006.
  15. ℤ2-graded codimensions of unital algebras,
    Internat. J. Algebra Comput. 28:3 (2018), 483-500. (with M.V. Zaicev)
    MR 3819819, Zbl 1442.17004.
  16. Products of H-separable spaces in the Laver model,
    Topology Appl. 239 (2018), 115-119. (with L. Zdomskyy)
    MR 3777326, Zbl 1390.54028.
  17. Pauli gradings on Lie superalgebras and graded codimension growth,
    Linear Algebra Appl. 520:1 (2017), 134-150. (with M.V. Zaicev)
    MR 3611462, Zbl 1386.17009.
  18. Identities of graded simple algebras,
    Linear Multilinear Algebra 65:1 (2017), 44-57. (with M. Zaicev)
    MR 3575877, Zbl 1373.17007.
  19. Products of Hurewicz spaces in the Laver model,
    Bull. Symb. Log. 23:3 (2017), 324-333. (with L. Zdomskyy)
    MR 3732200, Zbl 1421.03024.
  20. Non-meager free sets and independent families,
    Proc. Amer. Math. Soc. 145:9 (2017), 4061-4073. (with A. Medini and L. Zdomskyy)
    MR 3665057, Zbl 1372.54021.
  21. Graded PI-exponents of simple Lie superalgebras,
    Ark. Mat. 54:1 (2016), 147-156. (with M. Zaicev)
    MR 3475821, Zbl 1408.17002.
  22. Exponential growth of codimensions of identities of algebras with unity,
    Sb. Math. 206:10 (2015), 1440-1462. (with M.V. Zaicev)
    MR 3438565, Zbl 1378.17003.
  23. Numerical invariants of identities of unital algebras,
    Comm. Algebra 43:9 (2015), 3823-3839. (with M. Zaicev)
    MR 3360850, Zbl 1335.16014.
  24. Graded codimensions of Lie superalgebra b(2),
    J. Algebra 422 (2015), 1-10. (with M. Zaicev)
    MR 3272065, Zbl 1387.17008.
  25. On monoids of injective partial cofinite selfmaps,
    Math. Slovaca 65:5 (2015), 981-992. (with O. Gutik)
    MR 3433049, Zbl 1363.20058.
  26. Mathias forcing and combinatorial covering properties of filters,
    J. Symb. Log. 80:4 (2015), 1398-1410. (with D. Chodounský and L. Zdomskyy)
    MR 3436375, Zbl 1350.54019.
  27. Graded identities of some simple Lie superalgebras,
    Algebr. Represent. Theor. 17:5 (2014), 1401-1412. (with M. Zaicev)
    MR 3260903, Zbl 1359.17011.
  28. A four-dimensional simple algebra with fractional PI-exponent,
    Math. Notes 95:4 (2014), 487-499. (with M.V. Zaicev)
    MR 3298906, Zbl 1387.17003.
  29. L-convexity and lattice-valued capacities,
    J. Convex Anal. 21:1 (2014), 29-52. (with O. Nykyforchyn)
    MR 3235303, Zbl 1305.18010.
  30. Countable dense homogeneous filters and the Menger covering property,
    Fund. Math. 224:3 (2014), 233-240. (with L. Zdomskyy and S. Zhang)
    MR 3194416, Zbl 1344.54002.
  31. Productively Lindelöf spaces and the covering property of Hurewicz,
    Topology Appl. 169 (2014), 16-20. (with L. Zdomskyy)
    MR 3199855, Zbl 1291.54032.
  32. Group gradings on finite dimensional Lie algebras,
    Algebra Colloq. 20:4 (2013), 573-578. (with D. Pagon and M. Zaicev)
    MR 3116786, Zbl 1330.17035 .
  33. On the codimension growth of almost nilpotent Lie algebras,
    Israel J. Math. 194:1 (2013), 137-150. (with M. Zaicev)
    MR 3047065, Zbl 1316.17003 .
  34. On identities of infinite dimensional Lie superalgebras,
    Proc. Amer. Math. Soc. 141:12 (2013), 4139-4153. (with M. Zaicev)
    MR 3105857, Zbl 1333.17005.
  35. Liftings of normal functors in the category of compacta to categories of topological algebra and analysis,
    Sib. Math. J. 54:5 (2013), 871-882. (with O.R. Nykyforchyn)
    MR 3154804, Zbl 1283.18002.
  36. On the codimension growth of simple color Lie superalgebras,
    J. Lie Theory 22:2 (2012), 465-479. (with D. Pagon and M. Zaicev)
    MR 2976927, Zbl 1292.17028.
  37. 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)
    MR 2984503, Zbl 1256.22001 .
  38. 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)
    MR 2971844, Zbl 1252.68194.
  39. On the Menger covering property and D-spaces,
    Proc. Amer. Math. Soc. 140:3 (2012), 1069-1074. (with L. Zdomskyy)
    MR 2869091, Zbl 1241.54015.
  40. 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)
    MR 2883245, Zbl 1265.22002.
  41. 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)
    MR 2012h:22003, Zbl 1246.22005.
  42. Idempotent convexity and algebras for the capacity monad and its submonads,
    Appl. Categ. Structures 19:4 (2011), 709-727. (with O. Nykyforchyn)
    MR 2012g:18005, Zbl 1237.18005.
  43. Fuzzy Prokhorov metric on the set of probability measures,
    Fuzzy Sets and Systems 175:1 (2011), 96-104. (with A. Savchenko and M. Zarichnyi)
    MR 2012e:28029, Zbl 1225.60008.
  44. 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 .
  45. 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)
    MR 2012b:03091, Zbl 1221.03048.
  46. 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.
  47. Nonlinear mappings preserving at least one eigenvalue,
    Studia Math. 200:1 (2010), 79-89. (with C. Costara)
    MR 2012a:15013, Zbl 1216.47069.
  48. 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)
    MR 2011f:46053 , Zbl 1186.46049.
  49. 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.
  50. 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.
  51. On the Brandt λ0-extensions of monoids with zero,
    Semigroup Forum 80:1 (2010), 8-32. (with O. Gutik)
    MR 2011g:22007 , Zbl 1201.20057.
  52. On M-separability of countable spaces and function spaces,
    Topology Appl. 157:16 (2010), 2538-2541. (with L. Zdomskyy)
    MR 2011k:54027, Zbl 1226.54029.
  53. o-Boundedness of free topological groups,
    Topology Appl. 157:2 (2010), 466-481. (with T. Banakh and L. Zdomskyy)
    MR 2010j:54058 , Zbl 1184.54033.
  54. A new Lindelöf topological group,
    Topology Appl. 157:5 (2010), 990-996. (with L. Zdomskyy)
    MR 2011b:22003, Zbl 1186.22004.
  55. Packing index of subsets in Polish groups,
    Notre Dame J. Form. Log. 50:4 (2009), 453-468. (with T. Banakh and N. Lyaskovska)
    MR 2012d:03106, Zbl 1203.03066.
  56. 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)
    MR 2010d:22002 , Zbl 1199.22001.
  57. Semigroup closures of finite rank symmetric inverse semigroups,
    Semigroup Forum 78:2 (2009), 326-336. (with O. Gutik and J. Lawson)
    MR 2010f:20066 , Zbl 1165.22002.
  58. On linearly ordered H-closed topological semilattices,
    Semigroup Forum 77:3 (2008), 474-481. (with O. Gutik)
    MR 2009i:54063 , Zbl 1166.22003.
  59. Continuous selections and σ-spaces,
    Topology Appl. 156:1 (2008), 104-109. (with B. Tsaban and L. Zdomskyy)
    MR 2009g:54040 , Zbl 1163.54014.
  60. Fréchet-Urysohn fans in free topological groups,
    J. Pure Appl. Algebra 212:9 (2008), 2105-2114. (with T. Banakh and L. Zdomskyy)
    MR 2009e:18006 , Zbl 1146.18001.
  61. Hurewicz sets of reals without perfect subsets,
    Proc. Amer. Math. Soc. 136:7 (2008), 2515-2520. (with B. Tsaban and L. Zdomskyy)
    MR 2009f:54022 , Zbl 1151.54015.
  62. On countably compact 0-simple topological inverse semigroups,
    Semigroup Forum 75:2 (2007), 464-469. (with O. Gutik)
    MR 2008g:22001 , Zbl 1140.22001.
  63. An infinite sequence of non-realizable weavings,
    Discrete Appl. Math. 150:1-3 (2005), 256-260. (with A. Skopenkov and F. Spaggiari)
    MR 2006c:51010 , Zbl 1076.68104.
  64. A short proof of the Twelve-point theorem,
    Math. Notes 77:1 (2005), 108-111. (with M. Cencelj and M. Skopenkov)
    MR 2006d:52013 , Zbl 1077.52507.
  65. 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. (with V. Bobrovskij and E. Muranova)
    Zbl 1009.05500.
  66. Decomposition theorem for natural numbers,
    Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 544-576 (1976), 93-94.
    MR 0437445 , Zbl 0346.10006.