33 citations · 687 across the 231 of their papers we have counts for
19 papers · 1 filter
Openly factorizable spaces and compact extensions of topological semigroups
Taras Banakh, Svetlana Dimitrova
We prove that the semigroup operation of a topological semigroup extends to a continuous semigroup operation on its the Stone-Čech compactification provided is a pseud…
Embedding the bicyclic semigroup into countably compact topological semigroups
Taras Banakh, Svetlana Dimitrova, Oleg Gutik
We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p,q). We prove that each topological semigroup S with pseudoco…
The Rees-Suschkewitsch Theorem for simple topological semigroups
Taras Banakh, Svetlana Dimitrova, Oleg Gutik
We detect topological semigroups that are topological paragroups, i.e., are isomorphic to a Rees product of a topological group over topological spaces with a continuous sandwich f…
Characterizing compact Clifford semigroups that embed into convolution and functor-semigroups
Taras Banakh, Matija Cencelj, Olena Hryniv +1
We study algebraic and topological properties of the convolution semigroups of probability measures on a topological groups and show that a compact Clifford topological semigroup $…
Algebra in superextensions of twinic groups
Taras Banakh, Volodymyr Gavrylkiv
Given a group we study the algebraic structure of the compact right-topological semigroup consisting of maximal linked systems on . This semigroup contains the semigr…
Free topological inverse semigroups as infinite-dimensional manifolds
T. Banakh, O. Hryniv
Let be a complete quasivariety of topological inverse Clifford semigroups, containing all topological semilattices. It is shown that the free topological inverse semigroup $F(X…