Oleksandra Lysetska

most citedOn the semigroup

B_{ω}^{F}

which is generated by the family

F

of atomic subsets of

ω

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.GR2026

On topologization of the extended bicyclic semigroup

Oleg Gutik, Marharyta Zolotar, Oleksandra Lysetska

Non-discrete semigroup $T_{1}$ -topologies on the extended bicyclic semigroup $C_{Z}$ are constructed. Also, we present topological conditions, when a semigroup (shif…

math.GR2021★ 1 cited

On the semigroup $B_{ω}^{F}$ which is generated by the family $F$ of atomic subsets of $ω$

Oleg Gutik, Oleksandra Lysetska

We study the semigroup $B_{ω}^{F}$ , which is introduced in [O. Gutik and M. Mykhalenych, \emph{On some generalization of the bicyclic monoid}, Visnyk Lviv. Uni…

On topologization of the extended bicyclic semigroup

On the semigroup BωF​ which is generated by the family F of atomic subsets of ω

On the semigroup $B_{ω}^{F}$ which is generated by the family $F$ of atomic subsets of $ω$