Results 1 to 10 of about 54,028 (163)
Self-injectivity of semigroup algebras
Open Mathematics, 2020 It is proved that for an IC abundant semigroup (a primitive abundant semigroup; a primitively semisimple semigroup) S and a field K, if K 0[S] is right (left) self-injective, then S is a finite regular semigroup.
Xiaojiang Guo
exaly +3 more sources
Canonical trace ideal and residue for numerical semigroup rings [PDF]
Semigroup Forum, 2020 For a numerical semigroup ring K[H] we study the trace of its canonical ideal. The colength of this ideal is called the residue of H. This invariant measures how far is H from being symmetric, i.e. how far is K[H] from being a Gorenstein ring.
J. Herzog, T. Hibi, Dumitru I. Stamate
semanticscholar +1 more source
On interior bases of a semigroup [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 The main purpose of this paper is to introduce the concept of interior bases of a semigroup. In addition, we give a characterization when a non-empty subset of a semigroup is an interior base of a semigroup and give necessary and sufficient conditions ...
Wichayaporn Jantanan +3 more
doaj +1 more source
Nuclearity of semigroup C⁎-algebras [PDF]
Journal of Functional Analysis, 2019 We study the semigroup C*-algebra of a positive cone P of a weakly quasi-lattice ordered group. That is, P is a subsemigroup of a discrete group G with P\cap P^{-1}=\{e\} and such that any two elements of P with a common upper bound in P also have a ...
Astrid an Huef +3 more
semanticscholar +1 more source
On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup
Discussiones Mathematicae - General Algebra and Applications, 2022 The structure space of a semigroup endowed with hull kernel topology is introduced and studied. Also the structure space of a Г -semigroup is defined and a homeomorphism has been established between structure space of a Г -semigroup and the structure ...
Goswami Sarbani Mukherjee +2 more
doaj +1 more source
The Source of Semiprimeness of Semigroups
Journal of Mathematics, 2021 In this study, we define new semigroup structures using the set SS=a∈S|aSa=0 which is called the source of semiprimeness for a semigroup S with zero element.
Barış Albayrak +2 more
doaj +1 more source
Action graph of a semigroup act & its functorial connection [PDF]
Categories and General Algebraic Structures with Applications, 2023 In this paper we define C-induced action graph G(S,a,C;A) corresponding to a semigroup act (S,a,A) and a subset C of S. This generalizes many interesting graphs including Cayley Graph of groups and semigroups, Transformation Graphs (TRAG), Group Action ...
Promit Mukherjee +2 more
doaj +1 more source
A semigroup approach to nonlinear Lévy processes [PDF]
, 2017 We study the relation between L\'evy processes under nonlinear expectations, nonlinear semigroups and fully nonlinear PDEs. First, we establish a one-to-one relation between nonlinear L\'evy processes and nonlinear Markovian convolution semigroups ...
R. Denk, Michael Kupper, M. Nendel
semanticscholar +1 more source
Semiprimeness of semigroup algebras
Open Mathematics, 2021 Abundant semigroups originate from p.p. rings and are generalizations of regular semigroups. The main aim of this paper is to study the primeness and the primitivity of abundant semigroup algebras.
Guo Junying, Guo Xiaojiang
doaj +1 more source
Group key management based on semigroup actions [PDF]
arXiv.org, 2015 In this work we provide a suite of protocols for group key management based on general semigroup actions. Construction of the key is made in a distributed and collaborative way.
J. A. López-Ramos +3 more
semanticscholar +1 more source