ON THE FINITENESS PROPERTIES OF GENERALIZED LOCAL COHOMOLOGY MODULES

Year 2011, Volume: 10 Issue: 10, 113 - 122, 01.12.2011

Fatemeh Dehghani-zadeh

Abstract

In this paper we study certain properties of generalized local cohomology
modules with respect to a Serre class. We have proved that the
membership of the generalized local cohomology of finite modules M and N in
a Serre subcategory in the upper range (lower rang) depends on the support
of module M (N).

Keywords

generalized local cohomology, finiteness, Serre subcategories

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• Fatemeh Dehghani-Zadeh Department of Mathematics Islamic Azad University Yazd Branch, Yazd, Iran e-mails: [e-mail] [e-mail]