Results 1 to 10 of about 69,892 (204)

Self-injectivity of semigroup algebras

open access: yesOpen Mathematics, 2020
It is proved that for an IC abundant semigroup (a primitive abundant semigroup; a primitively semisimple semigroup) S and a field K, if K 0[S] is right (left) self-injective, then S is a finite regular semigroup.
Guo Junying, Guo Xiaojiang
exaly   +3 more sources

On interior bases of a semigroup [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2022
The main purpose of this paper is to introduce the concept of interior bases of a semigroup. In addition, we give a characterization when a non-empty subset of a semigroup is an interior base of a semigroup and give necessary and sufficient conditions ...
Wichayaporn Jantanan   +3 more
doaj   +1 more source

On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
The structure space of a semigroup endowed with hull kernel topology is introduced and studied. Also the structure space of a Г -semigroup is defined and a homeomorphism has been established between structure space of a Г -semigroup and the structure ...
Goswami Sarbani Mukherjee   +2 more
doaj   +1 more source

The Source of Semiprimeness of Semigroups

open access: yesJournal of Mathematics, 2021
In this study, we define new semigroup structures using the set SS=a∈S|aSa=0 which is called the source of semiprimeness for a semigroup S with zero element.
Barış Albayrak   +2 more
doaj   +1 more source

Action graph of a semigroup act & its functorial connection [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2023
In this paper we define C-induced action graph G(S,a,C;A) corresponding to a semigroup act (S,a,A) and a subset C of S. This generalizes many interesting graphs including Cayley Graph of groups and semigroups, Transformation Graphs (TRAG), Group Action ...
Promit Mukherjee   +2 more
doaj   +1 more source

Semiprimeness of semigroup algebras

open access: yesOpen Mathematics, 2021
Abundant semigroups originate from p.p. rings and are generalizations of regular semigroups. The main aim of this paper is to study the primeness and the primitivity of abundant semigroup algebras.
Guo Junying, Guo Xiaojiang
doaj   +1 more source

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018
In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra lr1(S) and semigroup algebra, l1(Sr) on restricted semigroup, Sr are investigated for different classes of inverse semigroups such as Brandt semigroup, and ...
Olufemi Johnson Ogunsola   +1 more
doaj   +1 more source

A survey on fuzzy semigroups

open access: yesRatio Mathematica, 2021
Fuzzy semigroup is an algebraic extension of semigroup. It has found application in fuzzy coding theory, fuzzy nite state machines and fuzzy languages. In this paper, a comprehensive literature review on fuzzy semigroup theory is realized.
Johnson Aderemi Awolola   +1 more
doaj   +1 more source

Introducing Fully Up-Semigroups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
In this paper, we introduce some new classes of algebras related to UP-algebras and semigroups, called a left UP-semigroup, a right UP-semigroup, a fully UP-semigroup, a left-left UP-semigroup, a right-left UP-semigroup, a left-right UP-semigroup, a ...
Iampan Aiyared
doaj   +1 more source

On Minimal Fuzzy Ideals of Semigroups

open access: yesJournal of Mathematics, 2013
The present paper contains the sufficient condition of a fuzzy semigroup to be a fuzzy group using fuzzy points. The existence of a fuzzy kernel in semigroup is explored.
Madad Khan   +2 more
doaj   +1 more source

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