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On the Gorensteinness of Rees and form rings of almost complete intersections

Published online by Cambridge University Press:  22 January 2016

Shiro Goto  and
Yasuhiro Shimoda
Shiro Goto
Affiliation:
Department of Mathematics, Nihon University, 3-25-40 Sakurajosui, Setagaya-hu, Tokyo 156
Yasuhiro Shimoda
Affiliation:
Jôhoku Gakuen High School, 2-28-1 Tôshin-cho, Itabashi-ku, Tokyo 174
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Let A be a Noetherian local ring and p a prime ideal in A. Let

and call them, respectively, the Rees ring and the form ring of p. The purpose of this paper is to clarify, provided p is an almost complete intersection in A (cf. (2.1) for definition), when the rings R(p) and G(p) are Gorenstein.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 92 , December 1983 , pp. 69 - 88
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

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