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Multiplicity and Tight Closures of Parameters

✍ Scribed by Shiro Goto; Yukio Nakamura

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
104 KB
Volume
244
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this paper we investigate the relation between the multiplicity and the tight closure of a parameter ideals. We shall show that local rings having a parameter ideal whose multiplicity agrees with the colength of its tight closure are Cohen-Macaulay rings.

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