FACTORIZATION INVARIANTS IN HALF-FACTORIAL AFFINE SEMIGROUPS

DOI10.1142/S0218196713500033zbMath1272.20060arXiv1207.5838MaRDI QIDQ4916249

A. Sánchez-R.-Navarro, Ignacio Ojeda Martínez de Castilla, Pedro A. García Sánchez

Publication date: 22 April 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5838

zbMATH Keywords

non-unique factorizationslengths of factorizationscatenary degreesaffine semigroupscommutative monoids

Mathematics Subject Classification ID

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

Related Items (14)

On transfer Krull monoids ⋮ Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid ⋮ REALISABLE SETS OF CATENARY DEGREES OF NUMERICAL MONOIDS ⋮ Minimal presentations of shifted numerical monoids ⋮ The computation of factorization invariants for affine semigroups ⋮ Factorization invariants in numerical monoids ⋮ On factorization invariants and Hilbert functions ⋮ On the set of catenary degrees of finitely generated cancellative commutative monoids ⋮ Numerical Semigroups on Compound Sequences ⋮ Factorization theory of root closed monoids of small rank ⋮ THE CATENARY DEGREE OF KRULL MONOIDS II ⋮ Computation of the \(\omega\)-primality and asymptotic \(\omega\)-primality with applications to numerical semigroups. ⋮ When Is a Puiseux Monoid Atomic? ⋮ numericalsgps, a GAP package for numerical semigroups

Uses Software

• numericalsgps

Cites Work

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• Uniquely presented finitely generated commutative monoids.
• A characterization of arithmetical invariants by the monoid of relations.
• Simplicial complexes and minimal free resolution of monomial algebras
• On the arithmetic of tame monoids with applications to Krull monoids and Mori domains.
• Local tameness of \(v\)-Noetherian monoids.
• The catenary and tame degree in finitely generated commutative cancellative monoids.
• Generators and relations of abelian semigroups and semigroup rings
• Elements in a Numerical Semigroup with Factorizations of the Same Length

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