Huneke-Wiegand conjecture for complete intersection numerical semigroup rings.

DOI10.1016/j.jalgebra.2013.06.007zbMath1301.20065arXiv1211.4554OpenAlexW2963466265WikidataQ122888574 ScholiaQ122888574MaRDI QIDQ2438018

Pedro A. García Sánchez, Micah J. Leamer

Publication date: 10 March 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4554

zbMATH Keywords

complete intersectionsfree numerical semigroupsgluingsnumerical semigroup ringsHuneke-Wiegand conjecture

Mathematics Subject Classification ID

Commutative semigroups (20M14) Linkage, complete intersections and determinantal ideals (13C40) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (12)

Torsion and tensor products over domains and specializations to semigroup rings ⋮ The second Feng-Rao number for codes coming from telescopic semigroups ⋮ Frobenius vectors, Hilbert series and gluings of affine semigroups. ⋮ Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid ⋮ Huneke-Wiegand conjecture and change of rings ⋮ Factorization properties of Leamer monoids. ⋮ Classes of complete intersection numerical semigroups. ⋮ Rigid ideals in Gorenstein rings of dimension one ⋮ \(\omega \)-primality in arithmetic Leamer monoids ⋮ Associated primes and syzygies of linked modules ⋮ Cyclotomic Numerical Semigroups ⋮ Numerical semigroup algebras

Uses Software

• numericalsgps

Cites Work

• Torsion and tensor products over domains and specializations to semigroup rings
• Modules over unramified regular local rings
• Numerical semigroups.
• Semi-groupes d'entiers et application aux branches
• Tensor products of modules and the rigidity of Tor
• Auslander-Reiten conjecture and Auslander-Reiten duality
• Sous-monoïdes d'intersection complète de $N$
• The number of generators for an ideal and its dual in a numerical semigroup
• numericalsgps, a GAP package for numerical semigroups

This page was built for publication: Huneke-Wiegand conjecture for complete intersection numerical semigroup rings.