Torsion in Tensor Products over One-Dimensional Domains

DOI10.1007/978-3-030-40822-0_18zbMath1487.13046arXiv1902.07157OpenAlexW2915867332MaRDI QIDQ5115903

Roger Wiegand, Neil Steinburg

Publication date: 21 August 2020

Published in: Numerical Semigroups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07157

zbMATH Keywords

integral closureGorenstein local domainintegral closure of a ring

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

Cites Work

• Vanishing of Tor, and why we care about it
• Modules over unramified regular local rings
• On the two generator problem for the ideals of a one-dimensional ring
• Stable isomorphism of modules over one-dimensional rings
• Correction to ``Tensor products of modules and the rigidity of Tor [Math. Ann. 299, No. 3, 449--476 (1994; Zbl 0803.13008)]
• On the ubiquity of Gorenstein rings

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