Results 41 to 50 of about 143,321 (277)
Matroids related to groups and semigroups
Researches in Mathematics, 2023 Matroid is defined as a pair $(X,\mathcal{I})$, where $X$ is a nonempty finite set, and $\mathcal{I}$ is a nonempty set of subsets of $X$ that satisfies the Hereditary Axiom and the Augmentation Axiom.
D.I. Bezushchak
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On the K-theory of crossed products by automorphic semigroup actions [PDF]
, 2012 Let P be a semigroup that admits an embedding into a group G. Assume that the embedding satisfies a certain Toeplitz condition and that the Baum-Connes conjecture holds for G.
J. Cuntz, S. Echterhoff, Xin Li
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Algebra and discrete mathematics, 2007 A semigroup S is called F- semigroup if there exists a group-congruence ?? on S such that every ??-class contains a greatest element with respect to the natural partial order ???S of S (see [8]). This generalizes the concept of F-inverse semigroups introduced by V. Wagner [12] and investigated in [7].
Giraldes, E. +2 more
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Automaton semigroups: new construction results and examples of non-automaton semigroups [PDF]
, 2017 This paper studies the class of automaton semigroups from two perspectives: closure under constructions, and examples of semigroups that are not automaton semigroups.
Brough, Tara, Cain, Alan J.
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The commuting graph of the symmetric inverse semigroup [PDF]
, 2012 The commuting graph of a finite non-commutative semigroup S, denoted G(S), is a simple graph whose vertices are the non-central elements of S and two distinct vertices x, y are adjacent if xy = yx.
J. Araújo, W. Bentz, Konieczny Janusz
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Representations of a semigroup [PDF]
Transactions of the American Mathematical Society, 1965 In this paper we shall first define the radical of a semigroup S and investigate some of its properties. Just as in the case of rings, one finds that the radical of a semigroup is a quasi-regular two-sided ideal which contains each quasi-regular right ideal of the semigroup and that the radical of a semigroup contains each nil right ideal of the ...
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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), □).
Han, Jeong Soon +2 more
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Neutrosophic LA-Semigroup Rings [PDF]
Neutrosophic Sets and Systems, 2015 Neutrosophic LA-semigroup is a midway structure between a neutrosophic groupoid and a commutative neutrosophic semigroup. Rings are the old concept in algebraic structures.
Mumtaz Ali +3 more
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Pi Semigroup Algebras of Linear Semigroups [PDF]
Proceedings of the American Mathematical Society, 1990 It is well-known that if a semigroup algebra K [ S ] K[S] over a field K K satisfies a polynomial identity then the semigroup S S has the permutation property. The converse is not true in general even when S S is a group.
Jan Okniński, Mohan S. Putcha
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Bi-Interior Ideals of Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of semigroup and study the properties of bi-interior ideals of semigroup, simple semigroup ...
Rao M. Murali Krishna
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