Stepan Gzhytskyi National University of Veterinary Medicine and Biotechnologies Lviv

output

20102024

most citedOn topologization of the bicyclic monoid

1 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

8 papers

math.GR2024

On the semigroup of injective monoid endomorphisms of the monoid $B_{ω}^{F^{3}}$ with a three element family $F^{3}$ of inductive nonempty subsets of $ω$

Oleg Gutik, Marko Serivka

We describe injective monoid endomorphisms of the semigroup $B_{ω}^{F^{3}}$ with a three element family $F^{3}$ of inductive nonempty subsets of $ω$ . Als…

math.GR2024★ 1 cited

On topologization of the bicyclic monoid

Adriana Chornenka, Oleg Gutik

We construct two non-discrete inverse semigroup $T_{1}$ -topologies and a compact inverse shift-continuous $T_{1}$ -topology on the bicyclic monoid $C (p, q)$ . Also we give con…

math.GR2018

On variants of the extended bicyclic semigroup

Oleg Gutik, Kateryna Maksymyk

In the paper we describe the group $Aut (C_{Z})$ of automorphisms of the extended bicyclic semigroup $C_{Z}$ and study the…

math.RA2018

Diagonal reduction of matrices over commutative semihereditary Bezout rings

Bohdan Zabavsky, Andry Gatalevych

It is proven that every commutative semihereditary Bezout ring in which any regular element is Gelfand (adequate), is an elementary divisor ring.

math.NA2016

Stabilization with residual-free bubbles for advection-dominated transport equations

I. Kryven, V. Kukharskyy, Ya. Savula

An improved numerical scheme is proposed for advection-dominated advection-diffusion problem. The scheme is based on Galerkin finite element method (FEM) with basis enriched with a…

math.GR2016★ 1 cited

On a semitopological polycyclic monoid

Serhii Bardyla, Oleg Gutik

We study algebraic structure of the $λ$ -polycyclic monoid $P_{λ}$ and its topologizations. We show that the $λ$ -polycyclic monoid for an infinite cardinal $λ ⩾ 2$ has similar…

math.GR2015

Pseudocompactness, products and topological Brandt $λ^{0}$ -extensions of semitopological monoids

Oleg Gutik, Oleksandr Ravsky

In the paper we study the preservation of pseudocompactness (resp., countable compactness, sequential compactness, $ω$ -boundedness, totally countable compactness, countable pracomp…

math.GN2010

Topological classification of zero-dimensional $M_{ω}$ -groups

Taras Banakh

A topological group $G$ is called an $M_{ω}$ -group if it admits a countable cover $\K$ by closed metrizable subspaces of $G$ such that a subset $U$ of $G$ is open in $G$ if and only…

On the semigroup of injective monoid endomorphisms of the monoid BωF3​ with a three element family F3 of inductive nonempty subsets of ω