ATTACHED PRIMES OF THE TOP GENERALIZED LOCAL COHOMOLOGY MODULES

摘要

Let (R, m) be a commutative Noetherian local ring, let I be an ideal of R and let M and N be finitely generated R-modules. Assume that pd(M) = d < infinity, dim N = n < infinity. First, we give the formula for the attached primes of the top generalized local cohomology module H-I(d+n)(M, N); later, we prove that if Att(H-I(d+n)(M, N)) = Att(H-J(d+n)(M, N)), then H-I(d+n)(M, N) = H-J(d+n)(M, N).