K-Theory for Semigroup C*-Algebras and Partial Crossed Products
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DOI: 10.1007/s00220-021-04194-9
Abstract: Using the Baum–Connes conjecture with coefficients, we develop a K-theory formula for reduced C*-algebras of strongly 0-E-unitary inverse semigroups, or equivalently, for a class of reduced partial crossed products. This generalizes and gives a new… read more here.
Keywords: algebras partial; semigroup algebras; crossed products; partial crossed ... See more keywords
Arens regularity and point Arens regularity of semigroup algebras
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DOI: 10.1007/s11117-019-00662-8
Abstract: The purpose of this article is to study the concepts Arens regularity for semigroup algebras $$M_a(S)$$Ma(S), $$\ell ^1(S)$$ℓ1(S), and $${ LUC}(S)^*$$LUC(S)∗. We give a necessary and sufficient condition for $$M_a(S)$$Ma(S) to be pointwise Arens regular.… read more here.
Keywords: regularity semigroup; regularity; semigroup algebras; regularity point ... See more keywords
Factorizations in numerical semigroup algebras
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DOI: 10.1016/j.jpaa.2018.09.010
Abstract: Abstract We study a numerical semigroup ring as an algebra over another numerical semigroup ring. The complete intersection property of numerical semigroup algebras is investigated using factorizations of monomials into minimal ones. The goal is… read more here.
Keywords: semigroup; semigroup algebras; numerical semigroup; factorizations numerical ... See more keywords
Classification of Rota-Baxter operators on semigroup algebras of order two and three
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DOI: 10.1080/00927872.2018.1552278
Abstract: Abstract In this paper, we determine all the Rota-Baxter operators of weight zero on semigroup algebras of order two and three with the help of computer algebra. We determine the matrices for these Rota-Baxter operators… read more here.
Keywords: algebras order; baxter operators; semigroup algebras; order two ... See more keywords
On semigroup algebras with rational exponents
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DOI: 10.1080/00927872.2021.1949018
Abstract: In this paper, a semigroup algebra consisting of polynomial expressions with coefficients in a field $F$ and exponents in an additive submonoid $M$ of $\mathbb{Q}_{\ge 0}$ is called a Puiseux algebra and denoted by $F[M]$.… read more here.
Keywords: puiseux algebras; semigroup algebras; puiseux; property ... See more keywords
Centrally essential semigroup algebras
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DOI: 10.1080/00927872.2022.2158192
Abstract: Abstract 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 GS of the semigroup S exists… read more here.
Keywords: essential semigroup; semigroup; group; centrally essential ... See more keywords
On the associated graded ring of semigroup algebras
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DOI: 10.1080/00927872.2023.2203773
Abstract: In this paper, we give the necessary and sufficient conditions for the Cohen-Macaulayness of the associated graded ring of a simplicial affine semigroups using Gr\"{o}bner basis. We generalize the concept of homogeneous numerical semigroup for… read more here.
Keywords: associated graded; semigroup algebras; graded ring; simplicial affine ... See more keywords