1 citations · 1 across the 4 of their papers we have counts for
4 papers
On topologization of the extended bicyclic semigroup
Oleg Gutik, Marharyta Zolotar, Oleksandra Lysetska
Non-discrete semigroup -topologies on the extended bicyclic semigroup are constructed. Also, we present topological conditions, when a semigroup (shif…
On topologization of subsemigroups of the bicyclic monoid
Adriana Chornenka, Oleg Gutik
We show that if a subsemigroup of the bicyclic monoid contains infinitely many idempotents then admits only the discrete Hausdorff shift-continuous top…
On topologization of the bicyclic monoid
Adriana Chornenka, Oleg Gutik
We construct two non-discrete inverse semigroup -topologies and a compact inverse shift-continuous -topology on the bicyclic monoid . Also we give con…
On some generalization of the bicyclic semigroup: the topological version
Matija Cencelj, Oleg Gutik, Dušan Repovš
We show that every Hausdorff Baire topology on such that is a semitopological semigroup is discrete and we…