Good ideals in Gorenstein local rings obtained by idealization
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- by Shiro Goto, Shin-ichiro Iai and Mee-kyoung Kim PDF
- Proc. Amer. Math. Soc. 130 (2002), 337-344 Request permission
Abstract:
The structure of certain equimultiple good ideals in Gorenstein local rings obtained by idealization is explored.References
- Winfried Bruns and Jürgen Herzog, Cohen-Macaulay rings, Cambridge Studies in Advanced Mathematics, vol. 39, Cambridge University Press, Cambridge, 1993. MR 1251956
- S. Goto and S. Iai, Embeddings of certain graded rings into their canonical modules, J. Alg. 228 (2000), 377-396.
- S. Goto, S. Iai, and K. Watanabe, Good ideals in Gorenstein local rings, Trans. Amer. Math. Soc. 353 (2001), 2309-2346.
- S. Goto and M. Kim, Equimultiple good ideals, J. Math. Kyoto Univ. (to appear).
- Shiro Goto and Keiichi Watanabe, On graded rings. I, J. Math. Soc. Japan 30 (1978), no. 2, 179–213. MR 494707, DOI 10.2969/jmsj/03020179
- Jürgen Herzog and Ernst Kunz (eds.), Der kanonische Modul eines Cohen-Macaulay-Rings, Lecture Notes in Mathematics, Vol. 238, Springer-Verlag, Berlin-New York, 1971. Seminar über die lokale Kohomologietheorie von Grothendieck, Universität Regensburg, Wintersemester 1970/1971. MR 0412177
- Idun Reiten, The converse to a theorem of Sharp on Gorenstein modules, Proc. Amer. Math. Soc. 32 (1972), 417–420. MR 296067, DOI 10.1090/S0002-9939-1972-0296067-7
Additional Information
- Shiro Goto
- Affiliation: Department of Mathematics, School of Science and Technology, Meiji University, 214-8571 Japan
- MR Author ID: 192104
- 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
- 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
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 337-344
- MSC (2000): Primary 13H10; Secondary 13H99
- DOI: https://doi.org/10.1090/S0002-9939-01-06028-2
- MathSciNet review: 1862110