[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2012.49.6.1215

FINITENESS PROPERTIES GENERALIZED LOCAL COHOMOLOGY WITH RESPECT TO AN IDEAL CONTAINING THE IRRELEVANT IDEAL

Dehghani-Zadeh, Fatemeh (Department of Mathematics Islamic Azad University)

Publication Information

Journal of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1215-1227 More about this Journal

Abstract

The membership of the generalized local cohomology modules $H_a^i$ (M,N) of two R-modules M and N with respect to an ideal a in certain Serre subcategories of the category of modules is studied from below ( $$i$ < $t$$ ). Furthermore, the behaviour of the $n$ th graded component $H_a^i(M,N)_n$ of the generalized local cohomology modules with respect to an ideal containing the irrelevant ideal as $n{\rightarrow}-{\infty}$ is investigated by using the above result, in certain graded situations.

Keywords

generalized local cohomology; finiteness; Serre subcategories;

Citations & Related Records

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