Taiwanese Journal of Mathematics

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

Tran Tuan Nam and Nguyen Minh Tri

Full-text: Open access

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

Permanent link to this document
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
Primary: 13D45: Local cohomology [See also 14B15]

Keywords
local cohomology weakly Laskerian weakly cofinite

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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References

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