Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids

DOI10.5802/acirm.41zbMath1474.20117arXiv1006.4222OpenAlexW1977152710MaRDI QIDQ4682439

Víctor Blanco, Alfred Geroldinger, Pedro A. García Sánchez

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4222

zbMATH Keywords

Krull monoidsets of lengthsnumerical monoidcatenary degreetame degreepresentations for semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13)

Related Items (1)

Arithmetic of non-principal orders in algebraic number fields

Uses Software

• numericalsgps

Cites Work

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• A realization theorem for sets of lengths
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• Unions of sets of lengths.
• The catenary and tame degree in finitely generated commutative cancellative monoids.
• Arithmetic of Mori Domains and Monoids: The Global Case
• The catenary and tame degree of numerical monoids
• A PRECISE RESULT ON THE ARITHMETIC OF NON-PRINCIPAL ORDERS IN ALGEBRAIC NUMBER FIELDS

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