On the attached prime ideals of certain Artinian local cohomology modules

DOI10.1017/S0013091500003941zbMath0483.13007MaRDI QIDQ5905073

Rodney Y. Sharp

Publication date: 1981

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

zbMATH Keywords

Artinian local cohomology modulelocal vanishing theorem

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Local cohomology and algebraic geometry (14B15) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items

On local cohomology modules, Vanishing of the top local cohomology modules over noetherian rings, Some applications of a criterion for Artinianness of a module, Cofinite modules and local cohomology, The Lichtenbaum-Hartshorne theorem for modules which are finite over a ring homomorphism, Generalized fractions, determinantal maps, and top cohomology modules, Explicit computations around the Lichtenbaum-Hartshorne vanishing theorem

Cites Work

• Injective modules over Noetherian rings
• Local cohomological dimension of algebraic varieties
• Local cohomological dimension in characteristic p
• Cohomological dimension of algebraic varieties
• On the ubiquity of Gorenstein rings
• Some Results on the Vanishing of Local Cohomology Modules
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES
• GENERALIZED KOSZUL COMPLEXES AND ARTINIAN MODULES
• Coprimary Decomposition of Artinian Modules