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On Buchsbaum rings obtained by gluing

Published online by Cambridge University Press:  22 January 2016

Shiro Goto
Shiro Goto*
Affiliation:
Department of Mathematics, Nihon University
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Let A be a Noetherian local ring with maximal ideal m. In 1973 J. Barshay [1] showed that, if A is a Cohen-Macaulay ring, then so is the Rees algebra R(q) = ⊕n≧0qn for every parameter ideal q of A (cf. p. 93, Corollary). Recently the author and Y. Shimoda [5] have proved that the Rees algebra R(q) is a Cohen-Macaulay ring for every parameter ideal q of A if and only if

(#) A is a Buchsbaum ring and for i ≠ 1, dim A.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 83 , October 1981 , pp. 123 - 135
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

References

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