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Let R be a commutative Noetherian ring, Φ a system of ideals of R and I ∈ Φ. Let t ∈ N 0 be an integer and M an R-module such that for all i and j whenever M is minimax and H i Φ (M ) is FD ≤1 (or weakly Laskerian) for all i. Mathematics Subject Classification (2010). 13D45, 13E05, 14B15doi:10.15672/hjms.2019.672 fatcat:vdacsl56jzcrxaleypqe34sfbe