O. Gutik

activity

20242026

most citedOn the semigroup of monoid endomorphisms of the semigroup

B_{ω}^{F}

with a two-element family

F

of inductive nonempty subsets of

ω

1 citations · 2 across the 9 of their papers we have counts for

collaborators

11 papers

math.GR2026

On injective endomorphisms of the semigroup $B_{ω}^{F^{4}}$ with a four-element family $F^{4}$ of inductive non-empty subsets of $ω$

Oleg Gutik, Marko Serivka

We describe injective endomorphisms of the semigroup $B_{ω}^{F^{4}}$ with a four-element family $F^{4}$ of inductive non-empty subsets of $ω$ . In particu…

math.GR2026

On semigroups which admit only discrete left-continuous Hausdorff topology

Oleg Gutik

We give the sufficient condition when every left-continuous (right-continuous) Hausdorff topology on a semigroup $S$ is discrete. We construct a submonoid $C_{+} (a, b)$ (r…

math.GR2025

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

Oleg Gutik, Marko Serivka

We describe injective endomorphisms of the semigroup $B_{ω}^{F^{3}}$ with a three-element family $F^{3}$ of inductive non-empty subsets of $ω$ . In partic…

math.GR2025

On injective endomorphisms of the semigroup $B_{Z}^{F^{2}}$ with the two-element family $F^{2}$ of inductive nonempty subsets of $ω$

Oleg Gutik, Inna Pozdniakova

We describe injective endomorphisms of the semigroup $B_{Z}^{F^{2}}$ with the two-element family $F^{2}$ of inductive nonempty subsets of $ω$ .…

math.GR2025

On the semigroup of endomorphisms of the semigroup $B_{ω}^{F^{2}}$ with the two-element family $F^{2}$ of inductive nonempty subsets of $ω$

Oleg Gutik, Marko Serivka

We study the semigroup $End (B_{ω}^{F^{2}})$ of all endomorphisms of the bicyclic extension $B_{ω}^{F^{2}}$ with the tw…

math.GR2024

On locally compact shift-continuous topologies on semigroups $C_{+} (a, b)$ and $C_{-} (a, b)$ with adjoined zero

Oleg Gutik

Let $C_{+} (p, q)^{0}$ and $C_{-} (p, q)^{0}$ be the semigroups $C_{+} (a, b)$ and $C_{-} (a, b)$ with the adjoined zero. We show that the semigroups $\…

math.GR2024

On the semigroup of monoid endomorphisms of the semigroup $C_{+} (a, b)$

Oleg Gutik, Sher-Ali Penza

Let $C_{+} (a, b)$ be the submonoid of the bicyclic monoid which is studied in \cite{Makanjuola-Umar=1997}. We describe monoid endomorphisms of the semigroup $\mathscr{C}_{…

math.GR2024★ 1 cited

On non-topologizable semigroups

Oleg Gutik

We find anti-isomorphic submonoids $C_{+} (a, b)$ and $C_{-} (a, b)$ of the bicyclic monoid $C (a, b)$ with the following properties: every Hausdorff left-c…

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 the semigroup of monoid endomorphisms of the semigroup $B_{ω}^{F}$ with a two-element family $F$ of inductive nonempty subsets of $ω$

Oleg Gutik, Inna Pozdniakova

We study the semigroup of non-injective monoid endomorphisms of the semigroup $B_{ω}^{F}$ with a two-elements family $F$ of inductive nonempty subset…

math.GR2024

On locally compact shift continuous topologies on the semigroup $B_{[0, \infty)}$ with an adjoined compact ideal

Oleg Gutik, Markian Khylynskyi

Let $B_{[0, \infty)}$ be the semigroup which is defined in the Ahre paper \cite{Ahre=1981}. The semigroup $B_{[0, \infty)}$ with the induced usual topology…

On injective endomorphisms of the semigroup BωF4​ with a four-element family F4 of inductive non-empty subsets of ω

On semigroups which admit only discrete left-continuous Hausdorff topology

On injective endomorphisms of the semigroup BωF3​ with a three-element family F3 of inductive non-empty subsets of ω

On injective endomorphisms of the semigroup BZF2​ with the two-element family F2 of inductive nonempty subsets of ω

On the semigroup of endomorphisms of the semigroup BωF2​ with the two-element family F2 of inductive nonempty subsets of ω

On locally compact shift-continuous topologies on semigroups C+​(a,b) and C−​(a,b) with adjoined zero

On the semigroup of monoid endomorphisms of the semigroup C+​(a,b)

On non-topologizable semigroups

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

On the semigroup of monoid endomorphisms of the semigroup BωF​ with a two-element family F of inductive nonempty subsets of ω

On locally compact shift continuous topologies on the semigroup B[0,∞)​ with an adjoined compact ideal

On injective endomorphisms of the semigroup $B_{ω}^{F^{4}}$ with a four-element family $F^{4}$ of inductive non-empty subsets of $ω$

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

On injective endomorphisms of the semigroup $B_{Z}^{F^{2}}$ with the two-element family $F^{2}$ of inductive nonempty subsets of $ω$

On the semigroup of endomorphisms of the semigroup $B_{ω}^{F^{2}}$ with the two-element family $F^{2}$ of inductive nonempty subsets of $ω$

On locally compact shift-continuous topologies on semigroups $C_{+} (a, b)$ and $C_{-} (a, b)$ with adjoined zero

On the semigroup of monoid endomorphisms of the semigroup $C_{+} (a, b)$

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 $ω$

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

On locally compact shift continuous topologies on the semigroup $B_{[0, \infty)}$ with an adjoined compact ideal