Перегляд за автором "Gavrylkiv, V."

Сортувати за: Порядок: Результатів:

  • Algebra in superextensions of groups, II: cancelativity and centers 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2008)
    Given a countable group X we study the algebraic structure of its superextension λ(X). This is a right-topological semigroup consisting of all maximal linked systems on X endowed with the operation A∘B={C⊂X:{x ...
  • Algebra in superextensions of groups, I: zeros and commutativity 
    Banakh, T.T.; Gavrylkiv, V.; Nykyforchyn, O. (Algebra and Discrete Mathematics, 2008)
    Given a group X we study the algebraic structure of its superextension λ(X). This is a right-topological semigroup consisting of all maximal linked systems on X endowed with the operation A∘B={C⊂X:{x∈X:x−1C∈B}∈A} ...
  • Algebra in superextensions of inverse semigroups 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2012)
    We find necessary and sufficient conditions on an (inverse) semigroup X under which its semigroups of maximal linked systems λ(X), filters φ(X), linked upfamilies N₂(X), and upfamilies υ(X) are inverse.
  • Algebra in superextensions of semilattices 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2012)
    Given a semilattice X we study the algebraic properties of the semigroup υ(X) of upfamilies on X. The semigroup υ(X) contains the Stone-ˇCech extension β(X), the superextension λ(X), and the space of filters φ(X) on X as ...
  • Characterizing semigroups with commutative superextensions 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2014)
    We characterize semigroups X whose semigroups of filters φ(X), maximal linked systems λ(X), linked upfamilies N₂(X), and upfamilies υ(X) are commutative.
  • Interassociativity and three-element doppelsemigroups 
    Gavrylkiv, V.; Rendziak, D. (Algebra and Discrete Mathematics, 2019)
    In the paper we characterize all interassociates of some non-inverse semigroups and describe up to isomorphism all three-element (strong) doppelsemigroups and their automorphism groups. We prove that there exist 75 pairwise ...