2 papers
math.GR2026
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…
math.GR2026
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…