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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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Israel Journal of Mathematics, 2022 47 pages.
Hazrat, Roozbeh (R16959) +1 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
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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
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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
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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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