Minimax modules, local homology and local cohomology

Author:

Nam Tran Tuan1

Affiliation:

1. Ho Chi Minh University of Pedagogy, 280 An Duong Vuong, District 5, Ho Chi Minh City, Vietnam

Abstract

We show some results about local homology modules and local cohomology modules concerning Grothendieck’s conjecture and Huneke’s question. We also show some equivalent properties of [Formula: see text]-separated modules and of minimax local homology modules. By duality, we get some properties of Grothendieck’s local cohomology modules.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The local-global principle for the artinianness dimensions;Communications in Algebra;2024-07-22

2. Coartinianness of extension and torsion functors;Communications in Algebra;2023-06-23

3. Coartinianess of local homology modules for ideals of small dimension;Journal of Algebra and Its Applications;2022-05-27

4. On the minimaxness and coatomicness of local cohomology modules;Czechoslovak Mathematical Journal;2021-12-08

5. CFA modules and the finiteness of coassociated primes of local homology modules;Hiroshima Mathematical Journal;2021-07-01

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