LAUSR

Every quasitrivial n-ary semigroup is reducible to a semigroup

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0 Published in 2019 at "Algebra universalis"

DOI: 10.1007/s00012-019-0626-0

Abstract: We show that every quasitrivial n-ary semigroup is reducible to a binary semigroup, and we provide necessary and sufficient conditions for such a reduction to be unique. These results are then refined in the case… read more here.

Keywords: semigroup reducible; semigroup; reducible semigroup; quasitrivial ary ... See more keywords

Strict topology on locally compact semigroups

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0 Published in 2017 at "Semigroup Forum"

DOI: 10.1007/s00233-016-9842-5

Abstract: AbstractLet S be a locally compact Hausdorff semigroup, and $$\mathfrak {A}$$A a solid subalgebra of measure algebra M(S). In this paper, among other results, we find necessary and sufficient conditions on S that implies $$\mathfrak… read more here.

Keywords: semigroup; strict topology; topology locally; locally compact ... See more keywords

Dilatations of numerical semigroups

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0 Published in 2017 at "Semigroup Forum"

DOI: 10.1007/s00233-018-9922-9

Abstract: This paper is focused on numerical semigroups and presents a simple construction, that we call “dilatation”, which, from a starting semigroup S, permits to get an infinite family of semigroups which share several properties with… read more here.

Keywords: dilatations numerical; semigroup; numerical semigroups;

Topologies on the symmetric inverse semigroup

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0 Published in 2022 at "Semigroup Forum"

DOI: 10.1007/s00233-021-10242-6

Abstract: The symmetric inverse semigroup $I(X)$ on a set $X$ is the collection of all partial bijections between subsets of $X$ with composition as the algebraic operation. We study a minimal Hausdorff inverse semigroup topologies on… read more here.

Keywords: semigroup; topologies symmetric; symmetric inverse; inverse semigroup ... See more keywords

Rates of Recurrence for Free Semigroup Actions

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1 Published in 2020 at "Journal of Dynamical and Control Systems"

DOI: 10.1007/s10883-020-09486-2

Abstract: We consider finitely generated free semigroup actions on (X, d) and generalize Boshernitzan’s quantitative recurrence theorem to general free semigroup actions. Let G be a finitely generated free semigroup endowed with a Bernoulli probability measure… read more here.

Keywords: free semigroup; semigroup; recurrence free; rates recurrence ... See more keywords

Classification of q-pure q-weight maps over finite dimensional Hilbert spaces

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1 Published in 2019 at "Journal of Functional Analysis"

DOI: 10.1016/j.jfa.2019.05.001

Abstract: An $E_0$-semigroup of $B(H)$ is a one parameter strongly continuous semigroup of $*$-endomorphisms of $B(H)$ that preserve the identity. Every $E_0$-semigroup that possesses a strongly continuous intertwining semigroup of isometries is cocycle conjugate to an… read more here.

Keywords: semigroup; dimensional hilbert; finite dimensional; beta ... See more keywords

Factorizations in numerical semigroup algebras

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0 Published in 2019 at "Journal of Pure and Applied Algebra"

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

Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties

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0 Published in 2018 at "Physica A: Statistical Mechanics and its Applications"

DOI: 10.1016/j.physa.2018.03.056

Abstract: Abstract We presented an analysis of evolutions equations generated by three fractional derivatives namely the Riemann–Liouville, Caputo–Fabrizio and the Atangana–Baleanu fractional derivatives. For each evolution equation, we presented the exact solution for time variable and… read more here.

Keywords: atangana baleanu; semigroup; time; semigroup principle ... See more keywords

A generalized type semigroup and dynamical comparison

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0 Published in 2021 at "Ergodic Theory and Dynamical Systems"

DOI: 10.1017/etds.2020.28

Abstract: In this paper, we construct and study a semigroup associated to an action of a countable discrete group on a compact Hausdorff space that can be regarded as a higher dimensional generalization of the type… read more here.

Keywords: generalized type; semigroup dynamical; semigroup; type semigroup ... See more keywords

Centrally essential semigroup algebras

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1 Published in 2022 at "Communications in Algebra"

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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2 Published in 2022 at "Communications in Algebra"

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