Results 1 to 10 of about 146,027 (294)
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.
Guo Junying, Guo Xiaojiang
exaly +3 more sources
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
exaly +2 more sources
Semigroup C⁎-algebras and amenability of semigroups [PDF]
Journal of Functional Analysis, 2012 39 pages; corrected and revised version, new construction added in section ...
Xin Li
openaire +4 more sources
The numerical duplication of a numerical semigroup
, 2012 In this paper we present and study the numerical duplication of a numerical semigroup, a construction that, starting with a numerical semigroup $S$ and a semigroup ideal $E\subseteq S$, produces a new numerical semigroup, denoted by $S\Join^b\E$ (where ...
D'Anna, Marco, Strazzanti, Francesco
core +2 more sources
Retractions in semigroups [PDF]
Pacific Journal of Mathematics, 1957 A. D. Wallace
openalex +4 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
Neutrosophic ℵ-filters in semigroups [PDF]
Neutrosophic Sets and Systems, 2022 Models of universe problems are brimming with complexities and uncertainties in almost every field of study, including engineering, mathematics, medical sciences, computer science, physics, management sciences, artificial intelligence, and operations ...
B. Elavarasan +3 more
doaj +1 more source
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
openaire +4 more sources
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
The Booleanization of an inverse semigroup [PDF]
Semigroup Forum, 2018 We prove that the forgetful functor from the category of Boolean inverse semigroups to the category of inverse semigroups with zero has a left adjoint. This left adjoint is what we term the ‘Booleanization’.
M. Lawson
semanticscholar +1 more source