On non Artinian cofinite generalized local cohomology modules
F. Vahdanipour
Let R be a commutative Noetherian ring and I ⊆ J be ideals of R.
Let M and N be finitely generated R-modules such that pdR(M) < ∞.
In this paper, we study the supremum of non Artinian I-cofinite modules
HiI(M,N) over a commutative Noetherian ring where i ≤ 1 and give a bound for qJ(M,N)
by using qI(M,N). We show that
qJ(M,N) ≤ qI(M,N) + cdJ(M,N/IN).
Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 15(3) (2022), pp. 45-51
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