Перегляд за автором "Oliynyk, B."

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  • Infinitely iterated wreath products of metric spaces 
    Oliynyk, B. (Algebra and Discrete Mathematics, 2013)
    The construction of the finitary wreath product of metric spaces and its completion, the infinitely iterated wreath product of metric spaces are introduced. They full isometry groups are described. Some properties and ...
  • 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 representations of permutations groups as isometry groups of n-semimetric spaces 
    Gerdiy, O.; Oliynyk, B. (Algebra and Discrete Mathematics, 2015)
    We prove that every finite permutation group can be represented as the isometry group of some n-semimetric space. We show that if a finite permutation group can be realized as the isometry group of some n-semimetric ...
  • On unicyclic graphs of metric dimension 2 
    Dudenko, M.; Oliynyk, B. (Algebra and Discrete Mathematics, 2017)
    A metric basis S of a graph G is the subset of vertices of minimum cardinality such that all other vertices are uniquely determined by their distances to the vertices in S. The metric dimension of a graph G is the ...
  • On unicyclic graphs of metric dimension 2 with vertices of degree 4 
    Dudenko, M.; Oliynyk, B. (Algebra and Discrete Mathematics, 2018)
    We show that if G is a unicyclic graph with metric dimension 2 and {a, b} is a metric basis of G then the degree of any vertex v of G is at most 4 and degrees of both a and b are at most 2. The constructions of unispider ...
  • 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 ...
  • The diagonal limits of Hamming spaces 
    Oliynyk, B. (Algebra and Discrete Mathematics, 2013)
    We consider a continuum family of subspaces of the Besicovitch-Hamming space on some alphabet B, naturally parametrized by supernatural numbers. Every subspace is defined as a diagonal limit of finite Hamming spaces on the ...
  • Wreath product of metric spaces 
    Oliynyk, B. (Algebra and Discrete Mathematics, 2007)
    This paper describes a new construction of wreath product of metric spaces. The group of isometries of the wreath product of metric spaces is calculated.