The \(\mathfrak{a}\)-filter grade of an ideal \(\mathfrak{b}\) and \((\mathfrak{a},\mathfrak{b})\)-f-modules

DOI10.1007/s11464-021-0172-xarXiv2009.10407OpenAlexW4361201029MaRDI QIDQ6058347

Jingwen Shen, Xiao Yan Yang

Publication date: 1 November 2023

Published in: Frontiers of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10407

zbMATH Keywords

\((\mathfrak{a},\mathfrak{b})\)\(\mathfrak{a}\)-filter\(\text{f-grad}_R (\mathfrak{a},\mathfrak{b}, M)\)

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

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• Filter regular sequences and generalized local cohomology modules
• The f-depth of an ideal on a module
• ATTACHED PRIMES OF THE TOP GENERALIZED LOCAL COHOMOLOGY MODULES
• Filter regular sequences and the finiteness of local cohomology modules
• On the Artinianness of Generalized Local Cohomology

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