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Abstract
The Cohen–Macaulay locus of any finite module over a noetherian local ring A is studied, and it is shown that it is a Zariski-open subset of Spec A in certain cases. In this connection, the rings whose formal fibres over certain prime ideals are Cohen–Macaulay are studied.
ACKNOWLEDGMENT
The authors would like to express their gratitude to the referee for giving several comments and suggestions.
The research of the first author was in part supported from IPM (No. 87130117).
Notes
Communicated by S. Goto.