Remarks on lifting of Cohen-Macaulay property
- 1 December 1983
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 92, 121-132
- https://doi.org/10.1017/s0027763000020602
Abstract
Let (R, m) be a local noetherian ring and I a proper ideal in R. Let (I) be the Rees-ring ⊕n≥0 In with respect to I. In this note we describe conditions for I and R in order that the Cohen-Macaulay property (C-M for short) of R/I can be lifted to R and (I), see Propositions 1.2, 1.3. and 1.4.Keywords
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