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- W2922109937 abstract "Let (A, 𝔪) be a commutative quasi-local ring with non-zero identity and M be an Artinian A-module with dim M = d. If I is an ideal of A with ℓ(0 : M I) < ∞, then we show that for a minimal reduction J of I, (0 : M JI) = (0 : M I 2 ) if and only if [Formula: see text] for all n ≥ 0. Moreover, we study the dual of Burch’s inequality. In particular, the Burch’s inequality becomes an equality if G(I, M) is co-Cohen-Macaulay." @default.
- W2922109937 created "2019-03-22" @default.
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- W2922109937 date "2019-03-01" @default.
- W2922109937 modified "2023-09-27" @default.
- W2922109937 title "Reduction of Ideals Relative to an Artinian Module and the Dual of Burch’s Inequality" @default.
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- W2922109937 doi "https://doi.org/10.1142/s1005386719000117" @default.
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