Tensor products of perfect modules and maximal surjective Buchsbaum modules

DOI10.1016/S0022-4049(96)00088-6zbMath0901.13010MaRDI QIDQ1380041

Ken-ichi Yoshida

Publication date: 19 November 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Cohen-Macaulay moduleslocal cohomology modulesperfect moduleBuchsbaum modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (12)

Cohen-Macaulayness of tensor products ⋮ Homological aspects of derivation modules and critical case of the Herzog-Vasconcelos conjecture ⋮ Syzygies and tensor product of modules ⋮ Generalized local duality, canonical modules, and prescribed bound on projective dimension ⋮ A study of Tate homology via the approximation theory with applications to the depth formula ⋮ Vanishing of (co)homology of Burch and related submodules ⋮ Vanishing of Tor over complete intersections ⋮ Tensor products and direct limits of almost Cohen–Macaulay modules ⋮ On the vanishing of self extensions over Cohen-Macaulay local rings ⋮ Homological dimensions of rigid modules ⋮ Criteria for prescribed bound on projective dimension ⋮ RESULTS ON ALMOST COHEN-MACAULAY MODULES

Cites Work

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• Graded Buchsbaum algebras and Segre products
• A local ring is CM if and only if its residue field has a CM syzygy
• Surjective-Buchsbaum modules over Cohen-Macaulay local rings
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• What makes a complex exact?
• The homological theory of maximal Cohen-Macaulay approximations
• Bass number characterization of surjective Buchsbaum modules
• On linear maximal buchsbaum modules and the syzygy modules
• Toward a theory of generalized Cohen-Macaulay modules

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