Local-Global Principle for the Artinianness of Local Cohomology Modules

DOI10.1080/00927872.2010.511640zbMath1251.13016OpenAlexW2149866942MaRDI QIDQ2881046

Zhongming Tang

Publication date: 3 April 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.511640

zbMATH Keywords

local cohomologylocal-global principlefilter depth

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (9)

ARTINIANNESS OF COMPOSED LOCAL COHOMOLOGY MODULES ⋮ Filter depth of complexes ⋮ Lower bounds of certain general local cohomology modules ⋮ Unnamed Item ⋮ The first non-isomorphic local cohomology modules with respect to their ideals ⋮ LOCAL-GLOBAL PRINCIPLE FOR THE FINITENESS AND ARTINIANNESS OF GENERALISED LOCAL COHOMOLOGY MODULES ⋮ Remarks on the local-global principle for a subcategory consisting of extension modules ⋮ Faltings’ local–global principle and annihilator theorem for the finiteness dimensions ⋮ Filter regular sequences and generalized local cohomology modules

Cites Work

• Unnamed Item
• Der Endlichkeitssatz in der lokalen Kohomologie
• On annihilators and associated primes of local cohomology modules
• Some applications of a criterion for Artinianness of a module
• The f-depth of an ideal on a module
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal

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