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The structure of sally modules and Buchsbaumness of associated graded rings

Published online by Cambridge University Press:  11 January 2016

Kazuho Ozeki
Kazuho Ozeki*
Affiliation:
Department of Mathematical Science, Faculty of Science, Yamaguchi University, 1677-1 Yoshida, Yamaguchi 753-8512, Japan, ozeki@yamaguchi-u.ac.jp
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Abstract

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Let A be a Noetherian local ring with the maximal ideal m, and let I be an m-primary ideal in A. This paper examines the equality on Hilbert coefficients of I first presented by Elias and Valla, but without assuming that A is a Cohen–Macaulay local ring. That equality is related to the Buchsbaumness of the associated graded ring of I.

Keywords

13D4013A3013H10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 212 , December 2013 , pp. 97 - 138
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2013

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