COMINIMAXNESS AND ASSOCIATED PRIMES OF GENERALIZED LOCALCOHOMOLOGY MODULES

Let R be a commutative Noetherian ring, a an ideal of R and M a finite R–modules. Let X be an arbitraryR–module (not necessary finite) and n be a non-negative integer. It is shown that(i) SuppR(Hna(M;X)) [n i=۰ SuppR(Hia(X));(ii) AssR(Hna(M;X)) AssR(Hna(X)) [ ([n􀀀۱i=۰ SuppR(Hia(X))).We also study cominimaxness of generalized local cohomology modules in several cases.