Results 21 to 30 of about 1,356 (186)
Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 We investigate linear inequations with 5-digit of regular elements of ordered ternary semigroups, define the notions of ordered weakly left ideals, ordered weakly right ideals and ordered strong bi-ideals of ordered ternary semigroups, give some ...
Patchara Pornsurat +2 more
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On algebraic geometry over completely simple semigroups [PDF]
International Journal of Group Theory, 2019 We study equations over completely simple semigroups and describe the coordinate semigroups of irreducible algebraic sets for such semigroups.
Artem Shevlyakov
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Nilpotent Semigroups and Semigroup Algebras
Journal of Algebra, 1994 First, the structure of nilpotent semigroups is discussed. If \(S\) is a completely 0-simple semigroup over a maximal group \(G\), then \(S\) is nilpotent if and only if \(G\) is nilpotent and \(S\) is an inverse semigroup. The main results on semigroup algebras are very interesting, but technical; they examine the prime homomorphic images of semigroup
Jespers, E., Okninski, J.
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The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups [PDF]
Journal of Applied Mathematics, 2012 We introduce the notion of hypergroupoids (HBin(X), □), and show that (HBin(X), □) is a super‐semigroup of the semigroup (Bin(X), □) via the identification x↔{x}. We prove that (HBin*(X), ⊖, [∅]) is a BCK‐algebra, and obtain several properties of (HBin*(X), □).
Jeong Soon Han +2 more
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On reducible non-Weierstrass semigroups
Open Mathematics, 2021 Weierstrass semigroups are well known along the literature. We present a new family of non-Weierstrass semigroups which can be written as an intersection of Weierstrass semigroups.
García-García Juan Ignacio +3 more
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FUZZY SEMIGROUPS IN REDUCTIVE SEMIGROUPS [PDF]
Korean Journal of Mathematics, 2013 Summary: We consider a fuzzy semigroup \(S\) in a right (or left) reductive semigroup \(X\) such that \(S(k)=1\) for some \(k \in X\) and find a faithful representation (or anti-representation) of \(S\) by transformations of \(S\). Also we show that a fuzzy semigroup \(S\) in a weakly reductive semigroup \(X\) such that \(S(k)=1\) for some \(k \in X ...
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On generalized Ehresmann semigroups
Open Mathematics, 2017 As a generalization of the class of inverse semigroups, the class of Ehresmann semigroups is introduced by Lawson and investigated by many authors extensively in the literature.
Wang Shoufeng
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An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups
Bulletin 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
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ON THE CAYLEY SEMIGROUP OF A FINITE APERIODIC SEMIGROUP [PDF]
International Journal of Algebra and Computation, 2009 Let S be a finite semigroup. In this paper, we introduce the functions φs:S* → S*, first defined by Rhodes, given by φs([a1,a2,…,an]) = [sa1,sa1a2,…,sa1a2 ⋯ an]. We show that if S is a finite aperiodic semigroup, then the semigroup generated by the functions {φs}s ∈ S is finite and aperiodic.
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Ideals and Green's relations in ordered semigroups
International Journal of Mathematics and Mathematical Sciences, 2006 Exactly as in semigroups, Green's relations play an important role in the theory of ordered semigroups—especially for decompositions of such semigroups.
Niovi Kehayopulu
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