Results 41 to 50 of about 137 (87)

On group congruences on the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ and its homomorphic retracts in the case when a family $\mathscr{F}$ consists of inductive non-empty subsets of $\omega$

, 2021
We study group congruences on the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ and its homomorphic retracts in the case when an ${\omega}$-closed family $\mathscr{F}$ which consists of inductive non-empty subsets of $\omega$.
Mykhalenych, Mykola, Gutik, Oleg
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On a semitopological α-bicyclic semigroup

, 2017
Bardyla S. On a semitopological α-bicyclic semigroup / S. Bardyla // Algebraic and geometric methods of analysis: book of abstr. the Intern. sci. conf., Odessa, 31 May – 05 June 2017 / [Odesa Nat. Acad. of Food Technologies et al.]. – Odessa, 2017.
Bardyla, S.
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Fixed point properties for semigroups of nonlinear mappings and amenability

, 2012
In this paper we study fixed point properties for semitopological semigroup of nonexpansive mappings on a bounded closed convex subset of a Banach space. We also study a Schauder fixed point property for a semitopological semigroup of continuous mappings
Yong Zhang, Anthony T.-M. Lau, Lau, Anthony T.-M., Zhang, Yong   +3 more
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Avoidable Sets in The Bicyclic Inverse Semigroup

, 2003
A subset U of a set S with a binary operation is called avoidable if S can be partitioned into two subsets A and B such that no element of U can be written as a product of two distinct elements of A or as the product of two distinct elements of B.
Nándor Sieben
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Topological monoids of monotone injective partial selfmaps of ℕ with cofinite domain and image

, 2011
In this paper we study the semigroup ℐ ∞↗ (ℕ) of partial cofinal monotone bijective transformations of the set of positive integers ℕ. We show that the semigroup ℐ ∞↗ (ℕ) has algebraic properties similar to the bicyclic semigroup: it is bisimple and all ...
Dušan Repovš, Oleg Gutik
core   +1 more source

Rational monoid and semigroup automata [PDF]

, 2010
We consider a natural extension to the definition of M-automata which allows the automaton to make use of more of the structure of the monoid M, and by removing the reliance on an identity element, allows the definition of S-automata for S an arbitrary ...
Render, Elaine, Kambites, Mark, Borovik, Alexandre   +2 more
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On topologization of the bicyclic monoid

We construct two non-discrete inverse semigroup $T_1$-topologies and a compact inverse shift-continuous $T_1$-topology on the bicyclic monoid ${\mathscr{C}}(p,q)$. Also we give conditions on a $T_1$-topology $τ$ on ${\mathscr{C}}(p,q)$ to be discrete. In
Chornenka, Adriana, Gutik, Oleg
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Units of integral semigroup rings

, 1995
In this thesis, we study the unit group U(ZS) of the integral semigroup ring ZS of a finite semigroup S. Throughout, we assume that ZS has an identity, and unless mentioned otherwise, it is assumed that QS is a semisimple Artinian ring.
Wang, Duzhong
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Topological centers of semigroups and semigroup algebras

This thesis investigates the topological centres and Arens regularity of semigroups and their algebras. Following the work of Richard Arens, who introduced two distinct products (the Arens products) on the second dual of Banach algebras, the thesis' main
Askarisayah, Mehdi
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A bisimple inverse monoid of quadruples of non-negative integers. The Möbius function

The additive monoid of non-negative integers $\mathbb{N}$ is isomorphic to the right unit submonoid of the (bisimple) bicyclic semigroup $B=\mathbb{N}×\mathbb{N}$.
Schwab, Emil Daniel
core   +1 more source