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Fahimeh Khosh-Ahang Ghasr

Academic rank: Associate Professor
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Education: PhD.
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HIndex: 0/00
Faculty: Basic Science
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Research

Title
On the Local Cohomology of Matlis Reflexive Modules
Type
JournalPaper
Keywords
Bass numbers; Local cohomology modules; Matlis duality functor; Matlis reflexive modules.
Year
2008
Journal COMMUNICATIONS IN ALGEBRA
DOI
Researchers Kazem Khashyarmanesh ، Fahimeh Khosh-Ahang Ghasr

Abstract

Let R be a commutative Noetherian complete local ring, I an ideal of R, and M, N Matlis reflexive R-modules such that SuppN ⊆ VI. In this note, among other things, we show that Exti RNHj I M is Matlis reflexive for all i and j when one of the following conditions holds: (a) dimR/I = 1; (b) I is a principal ideal; (c) dimR ≤ 2.