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Remarks on lifting of Cohen-Macaulay property

Published online by Cambridge University Press:  22 January 2016

Manfred Herrmann  and
Shin Ikeda
Manfred Herrmann
Affiliation:
Department of Mathematics, Köln University, D-5000 Köln 41West-Germany
Shin Ikeda
Affiliation:
Department of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 92 , December 1983 , pp. 121 - 132
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

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