Quasi-perfect modules over COHEN-MACAULAY Rings

DOI10.1002/mana.19750660111zbMath0324.13008OpenAlexW1984830764MaRDI QIDQ4087322

Hans-Bjørn Foxby

Publication date: 1975

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19750660111

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Projective and free modules and ideals in commutative rings (13C10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (18)

Buchsbaum and Monomial Conjecture Dimension ⋮ Notes on linkage of modules with respect to a semidualizing module ⋮ WeaklyG_K-Perfect and Integral Closure of Ideals ⋮ The role of w-tilting modules in relative Gorenstein (co)homology ⋮ A study of Tate homology via the approximation theory with applications to the depth formula ⋮ On reduced G-perfection and horizontal linkage ⋮ Gorenstein rings via homological dimensions, and symmetry in vanishing of Ext and Tate cohomology ⋮ Linkage of modules with respect to a semidualizing module ⋮ Semi-dualizing complexes and their Auslander categories ⋮ Generalized Cohen-Macaulay dimension. ⋮ Foxby duality and Gorenstein injective and projective modules ⋮ Linkage of finite \(\mathsf{G}_{C}\)-dimension modules ⋮ Generalized Divisors and Total Reflexivity ⋮ Lower and upper bounds for Cohen-Macaulay dimension ⋮ Notes on linkage of modules ⋮ Linkage of modules by reflexive morphisms ⋮ Quasi Cohen-Macaulay properties of local homomorphisms ⋮ Linkage of modules and the Serre conditions

Cites Work

• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Gorenstein Modules and Related Modules.
• On the $\mu^i$ in a Minimal Injective Resolution.

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