Results 11 to 20 of about 652,533 (244)
Twisted Semigroup Algebras [PDF]
Algebras and Representation Theory, 2015 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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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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Centrally essential semigroup algebras
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2022 For a cancellative semigroup S and a field F, it is proved that the semigroup algebra FS is centrally essential if and only if the group of fractions $G_S$ of the semigroup $S$ exists and the group algebra $FG_S$ of $G_S$ is centrally essential. The semigroup algebra of a cancellative semigroup is centrally essential if and only if it has the classical
Oleg Vladimirovich Ljubimtsev +1 more
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On semigroup algebras with rational exponents
Communications in Algebra, 2021 In this paper, a semigroup algebra consisting of polynomial expressions with coefficients in a field F and exponents in an additive submonoid M of is called a Puiseux algebra and denoted by Here we study the atomic structure of Puiseux algebras. To begin
F. Gotti
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Tropical algebra for noise removal and optimal control
Journal of Low Frequency Noise, Vibration and Active Control, 2023 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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Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018 In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra lr1(S) and semigroup algebra, l1(Sr) on restricted semigroup, Sr are investigated for different classes of inverse semigroups such as Brandt semigroup, and ...
Olufemi Johnson Ogunsola +1 more
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Linear growth for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup [PDF]
, 2015 We show that every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) has linear growth.
Abughazalah, Nabilah, Etingof, Pavel
core +2 more sources
Journal of Algebra, 1999 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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Locally adequate semigroup algebras
Open Mathematics, 2016 We build up a multiplicative basis for a locally adequate concordant semigroup algebra by constructing Rukolaĭne idempotents. This allows us to decompose the locally adequate concordant semigroup algebra into a direct product of primitive abundant 0-J*$0{
Ji Yingdan, Luo Yanfeng
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Skew-products of higher-rank graphs and crossed products by semigroups [PDF]
, 2013 We consider a free action of an Ore semigroup on a higher-rank graph, and the induced action by endomorphisms of the $C^*$-algebra of the graph. We show that the crossed product by this action is stably isomorphic to the $C^*$-algebra of a quotient graph.
Maloney, Ben, Pask, David, Raeburn, Iain
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