Vanishing of tor and torsion in tensor products

DOI10.1080/00927879608825604zbMath0891.13007OpenAlexW2030786091MaRDI QIDQ4874740

Petra Constapel

Publication date: 8 July 1998

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

Full work available at URL: https://doi.org/10.1080/00927879608825604

zbMATH Keywords

rigidityGorenstein local ringlocal complete intersection ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40)

Related Items (16)

The product of an integrally closed ideal with its inverse ⋮ On the depth and reflexivity of tensor products ⋮ Maximal Cohen-Macaulay tensor products ⋮ Serre's condition for tensor products and \(n\)-Tor-rigidity of modules ⋮ On one-dimensional local rings and Berger’s conjecture ⋮ The number of generators for the product of an ideal with its inverse ⋮ Perfect bricks of every size. ⋮ Huneke-Wiegand conjecture and change of rings ⋮ Vanishing of Tor, and why we care about it ⋮ Torsion in the tensor product of an ideal with its inverse ⋮ POWERS OF THE MAXIMAL IDEAL AND VANISHING OF (CO)HOMOLOGY ⋮ Constructing 2 × 2 Bricks from Unitary Numerical Semigroups ⋮ Minimal Generating Sets for Relative Ideals in Numerical Semigroups of Multiplicity Eight ⋮ On the Ideal Case of a Conjecture of Huneke and Wiegand ⋮ Unitary Numerical Semigroups and Perfect Bricks ⋮ Perfect Pairs of Ideals and Duals in Numerical Semigroups

Cites Work

• Unnamed Item
• Tensor products of modules and the rigidity of Tor
• A counterexample to the rigidity conjecture for rings
• Stable Ideals and Arf Rings

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