Tor and torsion on a complete intersection

DOI10.1006/jabr.1997.7064zbMath0898.13008OpenAlexW2020175994MaRDI QIDQ1372663

David A. Jorgensen

Publication date: 1 November 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7064

zbMATH Keywords

Torsyzygy modulecomplete intersection ringtorsion elementsmaximal Cohen-Macaulay tensor products

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Complete intersections (14M10) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Torsion theory for commutative rings (13D30)

Related Items (11)

Minimal intersections and vanishing (co)homology ⋮ Maximal Cohen-Macaulay tensor products ⋮ Intersections of resolving subcategories and intersections of thick subcategories ⋮ Vanishing of Tor over complete intersections ⋮ Serre's condition for tensor products and \(n\)-Tor-rigidity of modules ⋮ On modules with self Tor vanishing ⋮ Classifying thick subcategories of the stable category of Cohen-Macaulay modules ⋮ Asymptotic behavior of Ext functors for modules of finite complete intersection dimension ⋮ ON TEST MODULES FOR FLAT DIMENSION ⋮ Modules that detect finite homological dimensions ⋮ Decent intersection and Tor-rigidity for modules over local hypersurfaces

Cites Work

• Modules over unramified regular local rings
• Modules of finite virtual projective dimension
• Complexity and Tor on a complete intersection
• Tensor products of modules and the rigidity of Tor
• A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
• Tensor products of modules, rigidity and local cohomology.
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