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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Good ideals in Gorenstein local rings obtained by idealization


Authors: Shiro Goto, Shin-ichiro Iai and Mee-kyoung Kim
Journal: Proc. Amer. Math. Soc. 130 (2002), 337-344
MSC (2000): Primary 13H10; Secondary 13H99
Published electronically: May 7, 2001
MathSciNet review: 1862110
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Abstract:

The structure of certain equimultiple good ideals in Gorenstein local rings obtained by idealization is explored.


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Additional Information

Shiro Goto
Affiliation: Department of Mathematics, School of Science and Technology, Meiji University, 214-8571 Japan
Email: goto@math.meiji.ac.jp

Shin-ichiro Iai
Affiliation: Department of Mathematics, School of Science and Technology, Meiji University, 214-8571 Japan
Email: s-iai@math.meiji.ac.jp

Mee-kyoung Kim
Affiliation: Department of Mathematics, Sungkyunkwan University, Jangangu Suwon, 440-746 Korea
Email: mkkim@yurim.skku.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06028-2
PII: S 0002-9939(01)06028-2
Keywords: Rees algebra, associated graded ring, Cohen-Macaulay ring, Gorenstein ring, $\mathrm{a}$-invariant
Received by editor(s): January 31, 2000
Received by editor(s) in revised form: June 15, 2000
Published electronically: May 7, 2001
Additional Notes: The first author was supported by the Grant-in-Aid for Scientific Researches in Japan (C(2), No. 11640049).
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 2001 American Mathematical Society