On canonical Cohen–Macaulay modules

Brodmann, Markus; Nhan, Le Thanh

doi:10.1016/j.jalgebra.2012.09.002

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By Applying Matlis Dual We Get Item (I) and Isomorphisms1

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Cited by 7 publications

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“…As Corollary 2.4 assures that generalized Cohen-Macaulay of dimension at most two are canonically Cohen-Macaulay, Theorem 2.3 (iv) recovers a characterization [6] for the case where the dimension is at least three.…”

Section: By Applying Matlis Dual We Get Item (I) and Isomorphismsmentioning

confidence: 68%

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Section: By Applying Matlis Dual We Get Item (I) and Isomorphismsmentioning

confidence: 68%

“…[6, Corollary 2.7] Let M be a generalized Cohen-Macaulay R-module of dimension t ≥ 3. Then, the following statements are equivalent(i) M is canonically Cohen-Macaulay; (ii) H j m (M ) = 0 for all j = 2, ..., t − 1; (iii) The m-transform functor D m (M ) is a Cohen-Macaulay R-module.Proposition 2.8.…”

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confidence: 99%