Results 11 to 20 of about 1,620 (232)

On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups [PDF]

Open Mathematics, 2020
In this paper, we develop a technique which enables us to obtain several results from the theory of Γ-semigroups as logical implications of their semigroup theoretical analogues.
Çullhaj Fabiana, Krakulli Anjeza
doaj   +2 more sources

THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUP [PDF]

Journal of Sciences, Islamic Republic of Iran, 1992
In this paper, a commutative semigroup will be written as a disjoint union of its cancellative subsemigroups. Based on this fact we will define the left regular representation of a commutative separative semigroup and show that this representation is ...
doaj   +1 more source

Idempotent-Aided Factorizations of Regular Elements of a Semigroup

Mathematics
In the present paper, we introduce the concept of idempotent-aided factorization (I.-A. factorization) of a regular element of a semigroup, which can be understood as a semigroup-theoretical extension of full-rank factorization of matrices over a field ...
Miroslav Ćirić, Jelena Ignjatović, Predrag S. Stanimirović   +2 more
doaj   +2 more sources

The Source of Semiprimeness of Semigroups

Journal 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, Didem Yeşil, Didem Karalarlioğlu Camci   +2 more
doaj   +1 more source

Congruence on a strong semilattice of π-groups

上海师范大学学报. 自然科学版, 2022
It is well known that a semigroup is a Clifford semigroup， if and only if it is a strong semilattice of groups， and the class of π-groups is the generalization of groups in the range of π-regular semigroups.
DAI Luyao, ZHANG Jiangang, SHEN Ran
doaj   +1 more source

Self-injectivity of semigroup algebras

Open 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
doaj   +1 more source

An Elementary Proof of a Theorem of Graham on Finite Semigroups

Mathematics, 2020
The purpose of this note is to give a very elementary proof of a theorem of Graham that provides a structural description of finite 0-simple semigroups and its idempotent-generated subsemigroups.
Adolfo Ballester-Bolinches, Vicent Pérez-Calabuig   +1 more
doaj   +1 more source

Higher Regularity, Inverse and Polyadic Semigroups

Universe, 2021
We generalize the regularity concept for semigroups in two ways simultaneously: to higher regularity and to higher arity. We show that the one-relational and multi-relational formulations of higher regularity do not coincide, and each element has several
Steven Duplij
doaj   +1 more source

On Ordered Regular Semigroups with a Zero Element [PDF]

Mathematics Interdisciplinary Research, 2022
In this paper, we study several conditions on ordered regular semigroups containing a zero element. In particular, we consider the natural and semigroup order and their connections to the properties of being principally ordered, Dubreil-Jacotin and BZS ...
Goncalo Pinto
doaj   +1 more source

Semiprimeness of semigroup algebras

Open 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