Abstract
The aim of this paper is to improve the main result of [5] (Theorem 3.5). We show that if A is a non-zero Artinian module over a commutative ring R and a⊆ b are ideals of R such that (0 : A b) ≠ 0 , then the dual of Burch's inequality S b ( a,A) ≤ Kdim R(A)− width b (0 : A a i) (i ⪢ 0) holds (the dual notions S b ( a,A), Kdim R(A), width b (A) are explained in [5]).
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