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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
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
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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
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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
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The Ornstein–Uhlenbeck semigroup in finite dimension
Philosophical Transactions of the Royal Society A, 2020 We gather the main known results concerning the non-degenerate Ornstein–Uhlenbeck semigroup in finite dimension. This article is part of the theme issue ‘Semigroup applications everywhere’.
Alessandra Lunardi +2 more
semanticscholar +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
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
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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