# IJPAM: Volume 69, No. 4 (2011)

LOCAL COHOMOLOGY MODULES

Department of Mathematics
Science and Research Campus
Tehran, IRAN
faculty of Mathematics and Computer Science
Tarbiat Moallem University
Tehran, 15618, IRAN

Abstract. Let be a graded Noetherian ring with local base ring and let . Let and be finitely generated graded -modules. In this paper we extend some of the known results about ordinary local cohomology modules to generalized local cohomology modules . Indeed, among other things, we prove that certain submodules and factor modules of are Artinian for some . Also we obtain some results on the asymptotic behaviour of the -th graded components of for .

AMS Subject Classification: 13D45, 13E10, 13A02

Key Words and Phrases: associated primes, asymptotic behaviour, generalized local cohomology, graded components