192 citations · 3.7k across the 290 of their papers we have counts for
8 papers · 1 filter
On monoids of injective partial cofinite selfmaps
Oleg Gutik, Dušan Repovš
We study the semigroup of injective partial cofinite selfmaps of an infinite cardinal . We show that is a bisimple in…
On monoids of monotone injective partial self-maps of integers with cofinite domains and images
Oleg Gutik, Dušan Repovš
We study the semigroup of monotone injective partial selfmaps of the set of integers having cofinite domain and image. We show that $\…
Detecting topological groups which are (locally) homeomorphic to LF-spaces
T. Banakh, K. Mine, D. Repovs +2
We present a simple-to-apply criterion for recognizing topological groups that are (locally) homeomorphic to LF-spaces.
On the Brandt -extensions of monoids with zero
Oleg Gutik, Dušan Repovš
We study algebraic properties of the Brandt -extensions of monoids with zero and non-trivial homomorphisms between the Brandt -extensions of monoids with zero. We introdu…
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 $…
On linearly ordered -closed topological semilattices
Oleg Gutik, Dušan Repovš
We give a criterium when a linearly ordered topological semilattice is -closed. We also prove that any linearly ordered -closed topological semilattice is absolutely -clos…