Complexity of tensor products of modules and a theorem of Huneke-Wiegand

DOI10.1090/S0002-9939-98-04017-9zbMath0886.13006MaRDI QIDQ4372724

Claudia M. Miller

Publication date: 16 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

complexitycomplete intersectiongrowth of Betti numbers

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Cohen-Macaulay modules (13C14)

Related Items (15)

Homological aspects of derivation modules and critical case of the Herzog-Vasconcelos conjecture ⋮ Nonvanishing cohomology and classes of Gorenstein rings ⋮ Vanishing of cohomology over Gorenstein rings of small codimension ⋮ Syzygies and tensor product of modules ⋮ Necessary conditions for the depth formula over Cohen-Macaulay local rings ⋮ Persistence of homology over commutative Noetherian rings ⋮ Vanishing of Tor over complete intersections ⋮ Classifying thick subcategories of the stable category of Cohen-Macaulay modules ⋮ Extremal growth of Betti numbers and trivial vanishing of (co)homology ⋮ On the vanishing of the theta invariant and a conjecture of Huneke and Wiegand ⋮ Cohomological support and the geometric join ⋮ ON TEST MODULES FOR FLAT DIMENSION ⋮ Modules that detect finite homological dimensions ⋮ Complexity and Tor on a complete intersection ⋮ Hochster's theta pairing and numerical equivalence

Cites Work

• Unnamed Item
• 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
• On the vanishing of Tor in regular local rings
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• 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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