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The Cohen-Macaulayness of the Rees algebras of local rings

Published online by Cambridge University Press:  22 January 2016

Shin Ikeda*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusaku, Nagoya, 464, Japan
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Let (A, m, k) be a Noetherian local ring. We define

and call it the Rees algebra of A. Let X be an indeterminate over A, then R(A) can be identified with the A-subalgebra .

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

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