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July 2021 CFA modules and the finiteness of coassociated primes of local homology modules
Nguyen Minh Tri
Hiroshima Math. J. 51(2): 155-161 (July 2021). DOI: 10.32917/h2020073

Abstract

We introduce the concept CFA modules and their applications in investigation the coassociated primes of local homology modules. The main result of this paper says that if $M$ is a CFA linearly compact $R$-module and $t$ is a non-negative integer such that H i I ( M ) is CFA for all $i < t$, then R / I   R H t I   ( M ) is CFA. Hence, the set $\mathrm{Coass}_R$ H t I ( M ) is finite.

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Nguyen Minh Tri. "CFA modules and the finiteness of coassociated primes of local homology modules." Hiroshima Math. J. 51 (2) 155 - 161, July 2021. https://doi.org/10.32917/h2020073

Information

Received: 7 August 2020; Revised: 15 January 2021; Published: July 2021
First available in Project Euclid: 12 July 2021

Digital Object Identifier: 10.32917/h2020073

Subjects:
Primary: 13D07, 13E05
Secondary: 13D99

Rights: Copyright © 2021 Hiroshima University, Mathematics Program

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Vol.51 • No. 2 • July 2021
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