On the Artinianness of Generalized Local Cohomology

DOI10.1080/00927870701511517zbMath1131.13015OpenAlexW2039076371MaRDI QIDQ5436302

Zhongming Tang, Lizhong Chu

Publication date: 14 January 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701511517

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Related Items (12)

UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ ARTINIANNESS OF COMPOSED LOCAL COHOMOLOGY MODULES ⋮ The finiteness dimension of local cohomology modules and its dual notion ⋮ COFINITENESS AND FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ Hilbert-Kirby polynomials in generalized local cohomology modules ⋮ The \(\mathfrak{a}\)-filter grade of an ideal \(\mathfrak{b}\) and \((\mathfrak{a},\mathfrak{b})\)-f-modules ⋮ Some results on the finiteness of generalized local cohomology modules using Serre classes ⋮ The first non-isomorphic local cohomology modules with respect to their ideals ⋮ On minimax modules and generalized local cohomology with respect to a pair of ideals ⋮ On the Finiteness Results of the Generalized Local Cohomology Modules ⋮ Filter regular sequences and generalized local cohomology modules ⋮ Some Results on Generalized Local Cohomology Modules

Cites Work

• Unnamed Item
• Local cohomological dimension of algebraic varieties
• Generalized section functors
• Some applications of a criterion for Artinianness of a module
• Associated primes and cofiniteness of local cohomology modules
• The f-depth of an ideal on a module
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• A common generalization of local cohomology theories

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