On tensor products of rings and extension conjectures

DOI10.1216/JCA-2009-1-4-635zbMath1189.13019OpenAlexW1989804157WikidataQ123139158 ScholiaQ123139158MaRDI QIDQ847985

David A. Jorgensen

Publication date: 19 February 2010

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

Full work available at URL: https://doi.org/10.1216/jca-2009-1-4-635

zbMATH Keywords

Cohen-Macaulay ringslocal ringsGorenstein ringsAuslander-Reiten conjectureTachikawa conjecturetensor products of rings

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

Related Items (7)

Minimal intersections and vanishing (co)homology ⋮ A study of Tate homology via the approximation theory with applications to the depth formula ⋮ Vanishing of Ext and Tor over fiber products ⋮ Hom and Ext, revisited ⋮ Asymptotic behavior of Ext functors for modules of finite complete intersection dimension ⋮ On the growth of the Betti sequence of the canonical module ⋮ Rings that are Homologically of Minimal Multiplicity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vanishing of Ext and Tor over some Cohen-Macaulay local rings
• On a conjecture of Auslander and Reiten
• Liftings and weak liftings of modules
• Eine Dualität zwischen den Funktoren Ext und Tor
• On tensor products of Gorenstein rings
• Extensions of a dualizing complex by its ring: Commutative versions of a conjecture of Tachikawa
• On a Generalized Version of the Nakayama Conjecture
• Remarks on a depth formula, a grade inequality and a conjecture of Auslander
• Symmetry in the vanishing of Ext over Gorenstein rings
• Vanishing of cohomology over Gorenstein rings of small codimension

This page was built for publication: On tensor products of rings and extension conjectures