## Taiwanese Journal of Mathematics

### Some Results on Local Cohomology Modules with Respect to a Pair of Ideals

#### 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.

#### Article information

Source
Taiwanese J. Math., Volume 20, Number 4 (2016), 743-753.

Dates
First available in Project Euclid: 1 July 2017

https://projecteuclid.org/euclid.twjm/1498874488

Digital Object Identifier
doi:10.11650/tjm.20.2016.5805

Mathematical Reviews number (MathSciNet)
MR3535671

Zentralblatt MATH identifier
1357.13022

Subjects

#### Citation

Nam, Tran Tuan; Tri, Nguyen Minh. Some Results on Local Cohomology Modules with Respect to a Pair of Ideals. Taiwanese J. Math. 20 (2016), no. 4, 743--753. doi:10.11650/tjm.20.2016.5805. https://projecteuclid.org/euclid.twjm/1498874488

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