On Vanishing and Cofiniteness of Generalized Local Cohomology Modules

Abstract

In this article, some results on vanishing and nonvanishing of generalized local cohomology modules are presented and some relations between those modules and, Ext and ordinary local cohomology modules are studied. Also, several cofiniteness propositions for generalized local cohomology modules are established which, among other things, provide an alternative answer to a question in 12 Yassemi , S. ( 2001 ). Cofinite modules . Comm. Algebra 29 ( 6 ): 2333 – 2340 .[Taylor & Francis Online], [Web of Science ®] , [Google Scholar].