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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2017; 54(6): 1829-1839

Online first article May 29, 2017      Printed November 1, 2017

https://doi.org/10.4134/JKMS.j160712

Copyright © The Korean Mathematical Society.

On coatomic modules and local cohomology modules with respect to a pair of ideals

Tran Tuan Nam, Nguyen Minh Tri

Ho Chi Minh University of Pedagogy, University of Science

Abstract

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In this paper, we show some results on the vanishing and the finiteness of local cohomology moduleswith respect to a pair of ideals. We also prove that $\Supp(H^{\dim M-1}_{I,J}(M)/JH^{\dim M-1}_{I,J}(M))$ is a finite set.

Keywords: local cohomology, coatomic module

MSC numbers: 13D45

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