19 citations · 62 across the 15 of their papers we have counts for
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Algebra in the superextensions of groups: minimal left ideals
Taras Banakh, Volodymyr Gavrylkiv
We prove that the minimal left ideals of the superextension of the discrete group of integers are metrizable topological semigroups, topologically isomorphic to minimal…
Right-topological semigroup operations on inclusion hyperspaces
Volodymyr Gavrylkiv
We show that for any discrete semigroup the semigroup operation can be extended to a right-topological semigroup operation on the space of inclusion hyperspaces on .…
Algebra in superextension of groups, II: cancelativity and centers
Taras Banakh, Volodymyr Gavrylkiv
Given a countable group we study the algebraic structure of its superextension . This is a right-topological semigroup consisting of all maximal linked systems on end…
Algebra in superextensions of groups, I: zeros and commutativity
T. Banakh, V. Gavrylkiv, O. Nykyforchyn
Given a group we study the algebraic structure of its superextension . This is a right-topological semigroup consisting of all maximal linked systems on endowed with…