Local cohomology and the Cousin complex for a commutative Noetherian ring

DOI10.1007/BF01214729zbMath0334.13006MaRDI QIDQ1228514

Rodney Y. Sharp

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/172475

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Projective and free modules and ideals in commutative rings (13C10) Commutative Noetherian rings and modules (13E05) Local cohomology and algebraic geometry (14B15) Homological methods in commutative ring theory (13D99)

Related Items (15)

Local Cohomology—An Invitation ⋮ Top Local Cohomology Modules ⋮ G-Gorenstein Modules ⋮ Cousin complexes and generalized fractions ⋮ Unnamed Item ⋮ Systems of parameters for non‐finitely generated modules and big Cohen–Macaulay modules ⋮ Modules with finite Cousin cohomologies have uniform local cohomological annihilators ⋮ Comparison of graded and ungraded Cousin complexes ⋮ A STUDY OF COUSIN COMPLEXES THROUGH THE DUALIZING COMPLEXES ⋮ Finiteness of cousin cohomologies ⋮ Gorenstein Injective Resolutions, Cousin Complexes and Top Local Cohomology Modules ⋮ Affine Semigroups and Cohen-Macaulay Rings Generated by Monomials ⋮ Cohen–Macaulay Loci of Modules ⋮ Cousin complexes and flat ring extensions ⋮ Cousin complex,local cohomology and torsion theory

Cites Work

• Unnamed Item
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• Injective modules over Noetherian rings
• Minimal injective resolutions with applications to dualizing modules and Gorenstein modules
• The Cousin complex for a module over a commutative Noetherian ring
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Some Results on the Vanishing of Local Cohomology Modules
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA
• ON GORENSTEIN MODULES OVER A COMPLETE COHEN-MACAULAY LOCAL RING
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES

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