Перегляд за автором "Bezushchak, O."

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  • Morita equivalent unital locally matrix algebras 
    Bezushchak, O.; Oliynyk, B. (Algebra and Discrete Mathematics, 2020)
    We describe Morita equivalence of unital locally matrix algebras in terms of their Steinitz parametrization. Two countable-dimensional unital locally matrix algebras are Morita equivalent if and only if their Steinitz ...
  • On growth of the inverse semigroup of partially defined co–finite automorphisms of integers 
    Bezushchak, O. (Algebra and Discrete Mathematics, 2004)
    The inverse semigroup of partially defined co– finite automorphisms of integers is considered. This semigroup is presented by generators and defining relations and its growth function is described.
  • Representation of Steinitz's lattice in lattices of substructures of relational structures 
    Bezushchak, O.; Oliynyk, B.; Sushchansky, V. (Algebra and Discrete Mathematics, 2016)
    General conditions under which certain relational structure contains a lattice of substructures isomorphic to Steinitz's lattice are formulated. Under some natural restrictions we consider relational structures with the ...
  • Spectra of locally matrix algebras 
    Bezushchak, O. (Algebra and Discrete Mathematics, 2021)
    We describe spectra of associative (not necessarily unital and not necessarily countable-dimensional) locally matrix algebras. We determine all possible spectra of locally matrix algebras and give a new proof of Dixmier–Baranov ...
  • The international conference on radicals ICOR-2006 
    Bezushchak, O.; Kirichenko, V. (Algebra and Discrete Mathematics, 2007)
    The regular International Conference on Radicals (ICOR-2006) was held from July 30 till August 5, 2006, in Kyiv, Ukraine. The conference was organized by Kyiv National Taras Shevchenko University and Institute of ...