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About 10,000 papers for “Semigroup”
Ganna Kudryavtseva, Victor Maltcev, Volodymyr Mazorchuk et al. · 2008
We classify all cross-sections of Green’s relations L and R in the Brauer semigroup. The regular behavior of such cross-sections starts from n = 7. We show that in the regular case there are essentially two different cross-sections and all others are Sn-conjugated to one of these two. We also classify all cross-sections up to isomorphism. 1
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Attila Egri-nagy Ab, Chrystopher L. Nehaniv B · 2010
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S. Kar, Abhishek Roy, I. Dutta · Asian-European Journal of Mathematics · 2025
In this paper, we study the connection between a ternary semigroup [Formula: see text] and the associated semigroup [Formula: see text] in which [Formula: see text] is embedded. Any ternary semigroup [Formula: see text] can be embedded in a semigroup [Formula: see text] called the semigroup cover of the ternary semigroup [Formula: see text]. Mainly we characterize them by using various ideals. Further we characterize left and right regularity, complete regularity and intra-regularity in the semigroup cover [Formula: see text] of [Formula: see text].
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Yong Qiu · Shandong kexue · 2000
This paper first offers a universal chatracterization for maximal separative factors of commutative semigroups,and further gives the minimal Cliffordian semigroup extension of separative semigroups.Therefore,we get a definite answer for a Cliffords problem.
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Elton Pasku · arXiv (Cornell University) · 2013
Given a $Γ$-semigroup $S$, we construct a semigroup $Σ$ in such a way that one sided ideals and quasi-ideals of $S$ can be regarded as one sided ideals and quasi-ideals respectively of $Σ$. This correspondence and other properties of $Σ$, allow us to obtain several results for $S$ without having the need to work directly with it, but solely employing well known results of semigroup theory. For example, we obtain the Green's theorem for $Γ$-semigroups found in \cite{PT}, as a corollary of the usual Green's theorem in semigroups. Also we prove that, if $S$ is a $Γ$-semigroup and $γ_{0} \in Γ$ such that $S_{γ_{0}}$ is a completely simple semigroup, then for every $γ\in Γ$, $S_γ$ is completely simple too.
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Viorel Barbu, Giuseppe Da Prato, Michael Röckner · Lecture notes in mathematics · 2016
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GSI Repository (German Federal Government)
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Eric Jespers · VUBIR (Vrije Universiteit Brussel) · 2007
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Ruškuc, Nik · St Andrews Research Repository (St Andrews Research Repository) · 2012
In this thesis we consider in detail the following two fundamental problems for \nsemigroup presentations: \n1. Given a semigroup find a presentation defining it. \n2. Given a presentation describe the semigroup defined by it. \nWe also establish two links between these two approaches: semigroup constructions \nand computational methods. \nAfter an introduction to semigroup presentations in Chapter 3, in Chapters 4 \nand 5 we consider the first of the two approaches. The semigroups we examine in \nthese two chapters include completely O-simple semigroups, transformation semigroups, \nmatrix semigroups and various endomorphism semigroups. In Chapter 6 \nwe find presentations for the following semi group constructions: wreath product, \nBruck-Reilly extension, Schiitzenberger product, strong semilattices of monoids, \nRees matrix semigroups, ideal extensions and subsemigroups. We investigate in \nmore detail presentations for subsemigroups in Chapters 7 and 10, where we prove \na number of Reidemeister-Schreier type results for semigroups. In Chapter 9 \nwe examine the connection between the semi group and the group defined by the \nsame presentation. The general results from Chapters 6, 7, 9 and 10 are applied \nin Chapters 8, 11, 12 and 13 to subsemigroups of free semigroups, Fibonacci \nsemigroups, semigroups defined by Coxeter type presentations and one relator \nproducts of cyclic groups. Finally, in Chapter 14 we describe the Todd-Coxeter \nenumeration procedure and introduce three modifications of this procedure.
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Li, F (15577457), Trotter, PG (15477434) · Figshare · 2004
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Emmanuel Trélat · SpringerBriefs on PDEs and Data Science · 2024
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Yolanda Lozano, Massimo Bianchi, Warren Siegel et al. · 2004
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Virgil Diodato · Semigroup Forum · 1980
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Mohammed Khalid Shahoodh · Tikrit Journal of Pure Science · 2023
Several algebraic structures have been studied by many authors to discuss the relationships among them. This article aims to study two algebraic structures, namely semigroup and BA-algebra, by combining them in one form, namely BA-semigroup and investigate some of its properties. This paper studied the BA-sub-semigroup, an ideal and BA-homomorphism of a BA-semigroup with some of their properties. Some examples are given to illustrate the results.
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Kazuaki Taira · Lecture notes in mathematics · 1991
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Graduate texts in mathematics · 2005
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1991
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Li, F, Trotter, PG · eCite Digital Repository (University of Tasmania) · 2004
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John Howie · 1995
Abstract The use of module theory in the study of rings is long established, but only in relatively recent years has serious use been made in semigroup theory of the non-additive analogue of a module. Perhaps surprisingly for such a simple structure, what we shall call S-systems (where S is a monoid) have proved a useful tool in the study of monoids and semigroups. The particular use that we shall highlight in this chapter is the application to amalgamation theory and related topics. The technique is available only for monoids, but, as we shall see, it is usually possible to extend the results to semigroups in a fairly straightforward way.
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Li, F, Trotter, PG · eCite Digital Repository (University of Tasmania) · 2004
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