ON THE FINITENESS PROPERTIES OF GENERALIZED LOCAL COHOMOLOGY MODULES

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

References

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