Remarks on lifting of Cohen-Macaulay property

Abstract

Let ( R, m ) be a local noetherian ring and I a proper ideal in R . Let ( I ) be the Rees-ring ⊕ n≥0 I n 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.