Results 31 to 40 of about 1,070,702 (215)

Commutative Topological Semigroups Embedded into Topological Abelian Groups

open access: yesAxioms, 2020
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
doaj   +1 more source

GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS [PDF]

open access: yesJournal of Algebraic Systems, 2019
For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and
R. Khan, A. Khan, B. Ahmad, R. Gul
doaj   +1 more source

Proper Regular Semigroups [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
In a recent paper, D. B. McAlister gave several characterizations of proper inverse semigroups. In this paper, the concept of proper is extended to the class of regular semigroups. This is done by requiring that the set of idempotents of the semigroup coincides with the kernel of the minimum group congruence on the semigroup.
openaire   +1 more source

NEUTROSOPHIC RINGS [PDF]

open access: yes, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy   +2 more
core   +1 more source

On fuzzy points in semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We consider the semigroup S¯ of the fuzzy points of a semigroup S, and discuss the relation between the fuzzy interior ideals and the subsets of S¯ in an (intra-regular) semigroup S.
Kyung Ho Kim
doaj   +1 more source

Γ-group congruences on regular Γ-semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
In this paper a Γ-group congruence on a regular Γ-semigroup is defined, some equivalent expressions for any Γ-group congruence on a regular Γ-semigroup and those for the least Γ-group congruence in particular are given.
A. Seth
doaj   +1 more source

An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups

open access: yesBulletin of the Section of Logic, 2022
The aim of this manuscript is to introduce the \((\alpha,\beta)\)-hesitant fuzzy set and apply it to semigroups. In this paper, as a generalization of the concept of hesitant fuzzy sets to semigroup theory, the concept of \((\alpha,\beta)\)-hesitant ...
Pairote Yiarayong
doaj   +1 more source

On generators, relations and D-simplicity of direct products, Byleen extensions, and other semigroup constructions [PDF]

open access: yes, 2015
In this thesis we study two different topics, both in the context of semigroup constructions. The first is the investigation of an embedding problem, specifically the problem of whether it is possible to embed any given finitely presentable semigroup ...
Baynes, Samuel
core   +2 more sources

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng   +3 more
wiley   +1 more source

Adjoint regular rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Let R be a ring. The circle operation is the operation a∘b=a+b−ab, for all a,b∈R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are
Henry E. Heatherly, Ralph P. Tucci
doaj   +1 more source

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