ايدهآلهاي اول چسبيدة آخرين مدول ناصفر كوهمولوژي موضعي.

Attached primes of top local cohomology modules.

Let a be an ideal of Noetherian ring R and M, N be finitely generated R- modules. Recall that, for each i≥ 0, i-th generalized local cohomology module M, N with respect to a is defined by Hai(M, N) := lim→nHai(M/anM, N). Also, recall that cd(a, M, N), the cohomological dimension of R-modules M and N with respect to an ideal a of a commutative Noetherian ring R is sup{i ∈ N0: Hai (M, N) ≠ 0}. In this paper, we study attached prime ideals of top local cohomology modules. Let R be a Noetherian ring and a be an ideal of R. Let M and N be non-zero finitely generated R-modules. Assume that pd(M) = d < ∞, cd(a, N) = c. We will prove that i) {p ∈ SuppRN: cd(a,R/p)= c, dimR/p=c} ⊆ AttR (Hac(N)), ii) AttR(Had+c(M, N)) ⊆ {p ∈ SuppRN: cd(a, M, R/p) = d + c}, iii) {p∈ SUPPRN : Cd (a, M.R/p) = d + c, dimR/p = c} ⊆ AttR (Had+c(M, N)). [ABSTRACT FROM AUTHOR]

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