Open Access
2016 Some Results on Local Cohomology Modules with Respect to a Pair of Ideals
Tran Tuan Nam, Nguyen Minh Tri
Taiwanese J. Math. 20(4): 743-753 (2016). DOI: 10.11650/tjm.20.2016.5805

Abstract

We study the finiteness of the sets $\operatorname{Ass}(H^d_{I, J}(M))$ and $\operatorname{Ass}(\operatorname{Hom}_R(R/I, H^d_{I, J}(M)))$ concerning Grothendieck's conjecture. We also show some properties of local cohomology modules $H^i_{I, J}(M)$ from the point of view of Serre subcategories.

Citation

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Tran Tuan Nam. Nguyen Minh Tri. "Some Results on Local Cohomology Modules with Respect to a Pair of Ideals." Taiwanese J. Math. 20 (4) 743 - 753, 2016. https://doi.org/10.11650/tjm.20.2016.5805

Information

Published: 2016
First available in Project Euclid: 1 July 2017

zbMATH: 1357.13022
MathSciNet: MR3535671
Digital Object Identifier: 10.11650/tjm.20.2016.5805

Subjects:
Primary: 13D45

Keywords: local cohomology , weakly cofinite , weakly Laskerian

Rights: Copyright © 2016 The Mathematical Society of the Republic of China

Vol.20 • No. 4 • 2016
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