Upper bounds and attached primes of top local cohomology modules defined by a pair of ideals

Document Type : Research Paper

Authors

1 Department of Mathematics, Imam Khomeini International University , P.O.Box 34149-1-6818, Qazvin, Iran

2 Faculty of Science, Payame Noor University, Tehran, Iran.

Abstract

Throughout R is a Noetherian local ring. In this paper we study cohomological dimension of an R-module M with respect to a pair of ideals and some of its relations with the attached prime ideals of M and the cohomological dimension of M with respect to an ideal. Furthermore, we generalize some results of [5] in particular, Theorem 2.8.

Keywords


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