Results 21 to 30 of about 254,909 (213)
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 ...
Mohammed Khalid Shahoodh
doaj +1 more source
Pi Semigroup Algebras of Linear Semigroups [PDF]
It is well-known that if a semigroup algebra K [ S ] K[S]
Jan Okniński, Mohan S. Putcha
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Twisted Semigroup Algebras [PDF]
We study 2-cocycle twists, or equivalently Zhang twists, of semigroup algebras over a field k. If the underlying semigroup is affine, that is abelian, cancellative and finitely generated, then Spec k[S] is an affine toric variety over k, and we refer to the twists of k[S] as quantum affine toric varieties.
Rigal, Laurent +1 more
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Nilpotent Semigroups and Semigroup Algebras
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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Tropical algebra for noise removal and optimal control
Algorithms for noise removal are either complex or ineffective, and the optimal control with inequality constrains makes the algorithm even more complex.
Chun-Mei Gong, Jiao Peng, Jing Wang
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Identities in the Algebra of Partial Maps [PDF]
We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Marcel Jackson +3 more
core +1 more source
Every group is a maximal subgroup of the free idempotent generated semigroup over a band [PDF]
Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several
Ruskuc, Nik +6 more
core +1 more source
On disjoint unions of finitely many copies of the free monogenic semigroup [PDF]
Every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) is finitely presented and residually finite.Peer ...
Ruskuc, Nik +2 more
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In this thesis we consider in detail the following two fundamental problems for semigroup presentations: 1. Given a semigroup find a presentation defining it. 2. Given a presentation describe the semigroup defined by it.
Ruškuc, Nik
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Let \(S\) be a semigroup and let \(K\) be a field. The authors are interested in conditions under which the semigroup algebra \(K[S]\) is right or left Noetherian. In particular, they investigate cases when these two concepts coincide, when Noetherian property of \(K[S]\) implies \(S\) is finitely generated, and when \(S\) satisfies the ascending chain
Jespers, Eric, Okninski, J.
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