Results 91 to 100 of about 24,434 (204)
Idempotent-Aided Factorizations of Regular Elements of a Semigroup
MathematicsIn 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 +2 more
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Semilattice of bisimple regular semigroups [PDF]
Proceedings of the American Mathematical Society, 1971 The main purpose of this paper is to show that a regular semigroup S S is a semilattice of bisimple semigroups if and only if it is a band of bisimple semigroups and that this holds if and only if D \mathcal {D} is a congruence on S S . It is also shown that a quasiregular semigroup
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A Characterization of Left Regularity
Universal Journal of Mathematics and Applications, 2019 We show that a zero-symmetric near-ring $N$ is left regular if and only if $N $ is regular and isomorphic to a subdirect product of integral near-rings, where each component is either an Anshel-Clay near-ring or a trivial integral near-ring. We also show
Peter Fuchs
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On Intra-regular Ordered Semigroups
Semigroup Forum, 1998 An ordered semigroup \(S\) is intra-regular if and only if it is a semilattice of simple semigroups, equivalently, if \(S\) is a union of simple subsemigroups of \(S\) [\textit{N. Kehayopulu}, Semigroup Forum 46, 271-278 (1993; Zbl 0776.06013)]. A \(poe\)-semigroup \(S\) is a semilattice of simple semigroups if and only if it is a semilattice of simple
Kehayopulu, N, Tsingelis, M
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A common framework for restriction semigroups and regular ∗ -semigroups
Journal of Pure and Applied Algebra, 2012 Let \(S\) be a regular \(*\)-semigroup, that is, a semigroup with involution \(a\mapsto a^{-1}\) for which \(a^{-1}\) is an inverse of \(a\). Let \(E_S\) denote the set of idempotents of \(S\) and \(P_S\) the set of \textit{projections} of \(S\), that is, \(P_S=\{e\in E_S:e=e^{-1}\}\).
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Algebras of right ample semigroups
Open Mathematics, 2018 Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
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Congruences on regular semigroups [PDF]
Pacific Journal of Mathematics, 1967 Reilly, N. R., Scheiblich, H. E.
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A groupoid approach to regular ⁎-semigroups
Advances in MathematicsIn this paper we develop a new groupoid-based structure theory for the class of regular $*$-semigroups. This class occupies something of a `sweet spot' between the important classes of inverse and regular semigroups, and contains many natural examples. Some of the most significant families include the partition, Brauer and Temperley-Lieb monoids, among
East, James (R16839) +1 more
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On regular semigroups II: An embedding
Journal of Pure and Applied Algebra, 1986 The core (a word suggested by Mario Petrich) of any regular semigroup S is the subsemigroup of S generated by E(S), where E(S) is the set of idempotents of S. For each \(e\in E(S)\) by \(\prec e\succ\) is denoted the core of the regular subsemigroup eSe. The main result is the following Theorem I.
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On (m, n)-ideals and (m, n)-regular ordered semigroups [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2016 Let m, n be non-negative integers. A subsemigroup A of an ordered semigroup (S, , is called an (m, n)-ideal of S if (i) Am SAn A, and (ii) if x A, y S such that y x, then y A. In this paper, necessary and sufficient conditions for every (
Limpapat Bussaban, Thawhat Changphas
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