A Linear Function Associated to Asymptotic Prime Divisors
نویسنده
چکیده
Let R be a Noetherian standard N d-graded ring and M,N finitely generated, N d-graded R-modules. Let I1, . . . , Is be finitely many homogeneous ideals of R. We show that there exist linear functions f, g : Ns → Nd such that the associated primes over R0 of [Exti(N,M/I1 1 · · · I ns s M)]m and [Tori(N,M/I n1 1 · · · I ns s M)]m are stable whenever m ∈ N d satisfies m ≥ f(n1, . . . , ns) and m ≥ g(n1, . . . , ns), respectively.
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