Results 11 to 20 of about 29,782 (219)
Retractions in semigroups [PDF]
Pacific Journal of Mathematics, 1957 A. D. Wallace
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Structure of the Semigroup of Semigroup Extensions [PDF]
Transactions of the American Mathematical Society, 1971 Let B B denote a compact semigroup with identity and G G a compact abelian group. Let Ext ( B , G ) \operatorname {Ext} (B,G) denote the semigroup of extensions of G G by B B . We show that Ext
J. W. Stepp, Ronald Fulp
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Examples and Counterexamples, 2023 In this paper we give an algebraic characterization of assemblies in terms of bands of groups. We also consider substructures and homomorphisms of assemblies. We give many examples and counterexamples.
Dardano, Ulderico +2 more
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Semigroup Forum, 2016 We define the notion of the partial order of ends of the Cayley graph of a semigroup. We prove that the structure of the ends of a semigroup is invariant under change of finite generating set and at the same time is inherited by subsemigroups and extensions of finite Rees index.
Craik, Simon +4 more
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Semigroup algebras of linear semigroups
Journal of Algebra, 1992 The authors state that in this paper they begin a systematic study of the semigroup algebras of linear semigroups, i.e. the subsemigroups of the multiplicative monoids \({\mathcal M}_ n(k)\) of all \(n\times n\)-matrices over a field \(k\), which is supposed to be algebraically closed.
Jan Okniński, Mohan S. Putcha
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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
Eric Jespers, Jan Okniński
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Invariant semigroups of orthodox semigroups
Semigroup Forum, 1996 The paper is a continuation of a previous one of these authors [J. Algebra 169, No. 1, 49-70 (1994; Zbl 0811.06015)]. An inverse transversal of a regular semigroup \(S\) is an inverse subsemigroup \(T\) with the property that, for every \(x\in S\), \(T\) contains one and only one inverse element \(x^0\) of \(x\) in \(S\).
M. H. Almeida-Santos +3 more
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Conjugacy classes of left ideals of Sweedler's four-dimensional algebra $ H_{4} $
AIMS Mathematics, 2022 Let $ A $ be a finite-dimensional algebra with identity over the field $ \mathbb{F} $, $ U(A) $ be the group of units of $ A $ and $ L(A) $ be the set of left ideals of $ A $. It is well known that there is an equivalence relation $ \sim $ on $ L(A) $ by
Fengxia Gao, Jialei Chen
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Cayley graphs of basic algebraic structures [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We present simple graph-theoretic characterizations for the Cayley graphs of monoids, right-cancellative monoids, left-cancellative monoids, and groups.
Didier Caucal
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Interpolation of semigroups and integrated semigroups
Semigroup Forum, 1992 Krein, Laptev and Cvetkova proved that any operator \(A\) on a Banach space \(E\), the resolvent of which contains a half-line, generates a \(C_ 0\)- semigroup on a certain maximal subspace \(Z\) of \(E\). Generally, no information about the size of \(Z\) is available.
Ulf Schlotterbeck +8 more
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