Results 1 to 10 of about 24,344 (204)
Idempotent-separating extensions of regular semigroups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 For a regular biordered set E, the notion of E-diagram and the associated regular semigroup was introduced in our previous paper (1995). Given a regular biordered set E, an E-diagram in a category C is a collection of objects, indexed by the elements of ...
A. Tamilarasi
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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 +2 more
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AIMS Mathematics, 2023 An element $ x $ in a semigroup is said to be regular if there exists an element $ y $ in the semigroup such that $ x = xyx $. The element $ y $ is said to be a regular part of $ x $.
Nuttawoot Nupo , Sayan Panma
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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
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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 +1 more
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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
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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
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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
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The Relationship between E-Semigroups and R-Semigroups
Journal of Mathematics, 2023 A semigroup is called an E-semigroup (R-semigroup) if the set of all idempotents (the set of all regular elements) forms a subsemigroup. In this paper, we introduce the concept of V-semigroups and establish the relationship between the three classes of ...
Ze Gu
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On Maximal Subgroups of Free Idempotent Generated Semigroups [PDF]
, 2011 We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup.
Gray, Robert, Ruskuc, Nik
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