Resumen de On the asymptotic behaviour of associated primes of generalized local cohomology modules

Kazem Khashyarmanesh, Ahmad Abbasi

• Let M and N be finitely generated and graded modules over a standard positive graded commutative Noetherian ring R, with irrelevant ideal R+. Let HkR+(MN)n be the nth component of the graded generalized local cohomology module HkR+(MN). In this paper we study the asymptotic behaviour of AssR+HkR+(MN)n as n-whenever k is the least integer j for which the ordinary local cohomology module HjR+(N) is not finitely generated.