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 Rmodules such that pd_{R}(M) < ∞.
In this paper, we study the supremum of non Artinian Icofinite modules
H^{i}_{I}(M,N) over a commutative Noetherian ring where i ≤ 1 and give a bound for q_{J}(M,N)
by using q_{I}(M,N). We show that
q_{J}(M,N) ≤ q_{I}(M,N) + cd_{J}(M,N/IN).
Advanced Studies: EuroTbilisi Mathematical Journal, Vol. 15(3) (2022), pp. 4551
