广义局部同调模的协关联素数的有限性结果及其应用

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2020-09-01 DOI:10.4134/JKMS.J180792

Yen Ngoc Do, Tri Minh Nguyen, N. Tran

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引用次数: 1

摘要

受Grothendieck猜想和Huneke问题的启发，我们证明了关于广义局部同调模的共相关素数的有限性的一些结果。我们还证明了极小极大局部同调模的一些等价性质。利用对偶性，我们得到了Herzog广义局部上同调模的一些性质。

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SOME FINITENESS RESULTS FOR CO-ASSOCIATED PRIMES OF GENERALIZED LOCAL HOMOLOGY MODULES AND APPLICATIONS

We prove some results about the finiteness of co-associated primes of generalized local homology modules inspired by a conjecture of Grothendieck and a question of Huneke. We also show some equivalent properties of minimax local homology modules. By duality, we get some properties of Herzog’s generalized local cohomology modules.

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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).