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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…
math.GR2024
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…