Results 11 to 20 of about 543 (107)
HOMOGENEOUS COMPLETELY SIMPLE SEMIGROUPS
Mathematika, Volume 66, Issue 3, Page 733-751, July 2020., 2020 Abstract A semigroup is completely simple if it has no proper ideals and contains a primitive idempotent. We say that a completely simple semigroup S is a homogeneous completely simple semigroup if any isomorphism between finitely generated completely simple sub‐semigroups of S extends to an automorphism of S.
Thomas Quinn‐Gregson
wiley +1 more source
Journal of Algebra, 2012 Let \(S\) be a semigroup and \(\emptyset\neq B\subseteq E(S)\). Let \(\widetilde{\mathcal L}_B\) be an equivalence relation, so that for \(a,b\in S\), \(a\widetilde{\mathcal L}_Bb\) if and only if \(\{e\in B:ae=a\}=\{e\in B:be=b\}\). A semigroup \(S\) is said to be \textit{weakly B-abundant} if every \(\widetilde{\mathcal L}_B\)-class and every ...
Gould, Victoria, Wang, Yanhui
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Open Mathematics, 2015 In this paper, we give some new characterizations of orthodox semigroups in terms of the set of inverses of idempotents. As a generalization, a new class of regular semigroups, namely Vn-semigroups, is introduced.
Gu Ze, Tang Xilin
doaj +1 more source
Smarandache U-liberal semigroup structure [PDF]
, 2009 In this paper, Smarandache U-liberal semigroup structure is given. It is shown that a semigroup S is Smarandache U-liberal semigroup if and only if it is a strong semilattice of some rectangular monoids. Consequently, some corresponding results on normal
Chen, Yizhi
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Idempotent 2x2 matrices over linearly ordered abelian groups [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper we study multiplicative semigroups of $2\times 2$ matrices over a linearly ordered abelian group with an externally added bottom element. The multiplication of such a semigroup is defined by replacing addition and multiplication by join and
Valdis Laan, Marilyn Kutti
doaj +1 more source
Two Generalizations of Homogeneity in Groups with Applications to Regular Semigroups [PDF]
, 2014 Let $X$ be a finite set such that $|X|=n$ and let $i\leq j \leq n$. A group $G\leq \sym$ is said to be $(i,j)$-homogeneous if for every $I,J\subseteq X$, such that $|I|=i$ and $|J|=j$, there exists $g\in G$ such that $Ig\subseteq J$.
Araújo, João, Cameron, Peter J.
core +2 more sources
End-regular and End-orthodox generalized lexicographic products of bipartite graphs
Open Mathematics, 2016 A graph X is said to be End-regular (End-orthodox) if its endomorphism monoid End(X) is a regular (orthodox) semigroup. In this paper, we determine the End-regular and the End-orthodox generalized lexicographic products of bipartite graphs.
Gu Rui, Hou Hailong
doaj +1 more source
A Note on the Topology of Space-time in Special Relativity [PDF]
, 2003 We show that a topology can be defined in the four dimensional space-time of special relativity so as to obtain a topological semigroup for time. The Minkowski 4-vector character of space-time elements as well as the key properties of special relativity ...
Bohm A +5 more
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Congruences on Orthodox Semigroups [PDF]
Journal of the Australian Mathematical Society, 1971 A semigroup S is called regular if a ∈ aSa for every element a in S. The elementary properties of regular semigroups may be found in A. H. Clifford and G. B. Preston [1]. A semigroup S is called orthodox if S is regular and if the idempotents of S form a subsemigroup of S.
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Some orthodox monoids with associate inverse subsemigroups [PDF]
, 2011 By an associate inverse subsemigroup of a regular semigroup $S$ we mean a subsemigroup $T$ of $S$ containing a least associate of each $x \in S$, in relation to the natural partial order $\leq_S$ in $S$.
Billhardt, Bernd +3 more
core +1 more source