Перегляд за автором "Gutik, O."

Сортувати за: Порядок: Результатів:

  • On a semitopological polycyclic monoid 
    Bardyla, S.; Gutik, O. (Algebra and Discrete Mathematics, 2016)
    We study algebraic structure of the λ-polycyclic monoid Pλ and its topologizations. We show that the λ-polycyclic monoid for an infinite cardinal λ≥2 has similar algebraic properties so has the polycyclic monoid Pn with ...
  • On closures in semitopological inverse semigroups with continuous inversion 
    Gutik, O. (Algebra and Discrete Mathematics, 2014)
    We study the closures of subgroups, semilattices and different kinds of semigroup extensions in semitopological inverse semigroups with continuous inversion. In particularly we show that a topological group G is H-closed ...
  • On H-closed topological semigroups and semilattices 
    Chuchman, I.; Gutik, O. (Algebra and Discrete Mathematics, 2007)
    In this paper, we show that if S is an H-closed topological semigroup and e is an idempotent of S, then eSe is an H-closed topological semigroup. We give sufficient conditions on a linearly ordered topological semilattice ...
  • On monoids of monotone injective partial selfmaps of Ln ×lex Z with co-finite domains and images 
    Gutik, O.; Pozdnyakova, I. (Algebra and Discrete Mathematics, 2014)
    We study the semigroup IO∞(Zⁿlex) of monotone injective partial selfmaps of the set of Ln × lex Z having co-finite domain and image, where Ln ×lex Z is the lexicographic product of n-elements chain and the set of integers ...
  • On the lattice of weak topologies on the bicyclic monoid with adjoined zero 
    Bardyla, S.; Gutik, O. (Algebra and Discrete Mathematics, 2020)
    A Hausdorff topology τ on the bicyclic monoid with adjoined zero C⁰ is called weak if it is contained in the coarsest inverse semigroup topology on C⁰. We show that the lattice W of all weak shift-continuous topologies on ...