Huneke-Wiegand conjecture and change of rings

DOI10.1016/j.jalgebra.2014.09.006zbMath1301.13012arXiv1305.4238OpenAlexW2081577181WikidataQ123244621 ScholiaQ123244621MaRDI QIDQ471872

Shiro Goto, Hoang Le Truong, Naoki Taniguchi, Ryo Takahashi

Publication date: 17 November 2014

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

Full work available at URL: https://arxiv.org/abs/1305.4238

zbMATH Keywords

Cohen-Macaulay ringGorenstein ringmultiplicitycanonical modulenumerical semigroup ringtorsionfree

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Torsion modules and ideals in commutative rings (13C12)

Related Items

Applications and homological properties of local rings with decomposable maximal ideals ⋮ On a class of Burch ideals and a conjecture of Huneke and Wiegand ⋮ Semidualizing modules and rings of invariants ⋮ Factorization properties of Leamer monoids. ⋮ Rigid ideals in Gorenstein rings of dimension one ⋮ Associated primes and syzygies of linked modules ⋮ On the Ideal Case of a Conjecture of Huneke and Wiegand ⋮ Residually faithful modules and the Cohen-Macaulay type of idealizations ⋮ On the Auslander–Reiten conjecture for Cohen–Macaulay local rings

Cites Work

• Unnamed Item
• Torsion and tensor products over domains and specializations to semigroup rings
• Necessary conditions for the depth formula over Cohen-Macaulay local rings
• Modules over unramified regular local rings
• On the associated graded ring of a local Cohen-Macaulay ring
• On graded rings. I
• Cohen-Macaulay local rings of maximal embedding dimension
• Auslander-Reiten conjecture and Auslander-Reiten duality
• Huneke-Wiegand conjecture for complete intersection numerical semigroup rings.
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• The number of generators for an ideal and its dual in a numerical semigroup
• Tensor products of modules, rigidity and local cohomology.
• Minimal Generating Sets for Relative Ideals in Numerical Semigroups of Multiplicity Eight
• Vanishing of tor and torsion in tensor products
• Torsion in the tensor product of an ideal with its inverse
• The Converse to a Theorem of Sharp on Gorenstein Modules