Some properties of local cohomology modules defined by a pair of ideals

DOI10.1134/S0001434621070105zbMath1468.13043OpenAlexW3194464971MaRDI QIDQ2049289

Tran Tuan Nam, Nguyen Minh Tri, Nguyen Thanh Nam

Publication date: 25 August 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621070105

zbMATH Keywords

local cohomologyweakly Laskerianweakly Artinian

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Cites Work

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• Some results on local cohomology modules with respect to a pair of ideals
• Cofiniteness of local cohomology based on a non-closed support defined by a pair of ideals
• Some results on local cohomology modules defined by a pair of ideals
• An introduction to homological algebra
• Local cohomology based on a nonclosed support defined by a pair of ideals
• ON THE WEAK ARTINIANNESS AND MINIMAX GENERALIZED LOCAL COHOMOLOGY MODULES
• A generalization of the finiteness problem of the local cohomology modules
• LOCAL COHOMOLOGY MODULES WHICH ARE SUPPORTED ONLY AT FINITELY MANY MAXIMAL IDEALS
• On the finiteness of associated primes of local cohomology modules

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