When the poset of the ideal class monoid of a numerical semigroup is a lattice

Fuente: arXiv
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Autores principales: Bonzio, S., García-Sánchez, P. A.
Formato: Preprint
Publicado: 2024
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author Bonzio, S.
García-Sánchez, P. A.
author_facet Bonzio, S.
García-Sánchez, P. A.
contents We characterize numerical semigroups for which the poset of its ideal class monoid is a lattice, and study the irreducible elements of such a lattice with respect to union, intersection, infimum and supremum.
format Preprint
id arxiv_https___arxiv_org_abs_2412_07281
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle When the poset of the ideal class monoid of a numerical semigroup is a lattice
Bonzio, S.
García-Sánchez, P. A.
Commutative Algebra
Combinatorics
20M14, 20M12
We characterize numerical semigroups for which the poset of its ideal class monoid is a lattice, and study the irreducible elements of such a lattice with respect to union, intersection, infimum and supremum.
title When the poset of the ideal class monoid of a numerical semigroup is a lattice
topic Commutative Algebra
Combinatorics
20M14, 20M12
url https://arxiv.org/abs/2412.07281