Complexity and Tor on a complete intersection

DOI10.1006/jabr.1998.7743zbMath0926.13007OpenAlexW2012616780MaRDI QIDQ1283948

David A. Jorgensen

Publication date: 16 November 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7743

zbMATH Keywords

complexitydepthrigidity theoremcomplete intersection ring

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items

Chern characters for twisted matrix factorizations and the vanishing of the higher Herbrand difference, Phantom depth and stable phantom exactness, Minimal intersections and vanishing (co)homology, Syzygies and tensor product of modules, Tor and torsion on a complete intersection, Modules with reducible complexity, Exterior powers and Tor-persistence, Necessary conditions for the depth formula over Cohen-Macaulay local rings, On the vanishing of homology for modules of finite complete intersection dimension, A study of Tate homology via the approximation theory with applications to the depth formula, The structure of quasi-complete intersection ideals, Vanishing of Tor over complete intersections, On the ideal case of a conjecture of Auslander and Reiten, Serre's condition for tensor products and \(n\)-Tor-rigidity of modules, The vanishing of a higher codimension analogue of Hochster's theta invariant, On invariants of complete intersections, Classifying thick subcategories of the stable category of Cohen-Macaulay modules, Vanishing of Tor, and why we care about it, Asymptotic behavior of Ext functors for modules of finite complete intersection dimension, On the vanishing of (co)homology over local rings, Complexity of tensor products of modules and a theorem of Huneke-Wiegand, VANISHING OF (CO)HOMOLOGY OVER COMMUTATIVE RINGS, Bounds on depth of tensor products of modules, Vanishing theorems for complete intersections, Modules that detect finite homological dimensions, VANISHING OF (CO)HOMOLOGY OVER DEFORMATIONS OF COHEN-MACAULAY LOCAL RINGS OF MINIMAL MULTIPLICITY, Decent intersection and Tor-rigidity for modules over local hypersurfaces, An extension of a depth inequality of Auslander

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