Hilbert coefficients and Buchsbaumness of associated graded rings |
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| Authors: | Shiro Goto Koji Nishida |
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| Institution: | a Department of Mathematics, School of Science and Technology, Meiji University, 1-1-1 Higashimita, Tamaku, Kawasaki, Kanagawa 214-8571, Japan
b Department of Mathematics and Informatics, School of Science and Technology, Chiba University, 263-8522, Japan |
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| Abstract: | Let A be a Noetherian local ring with the maximal ideal  and I an  -primary ideal. The purpose of this paper is to generalize Northcott's inequality on Hilbert coefficients of I given in Northcott (J. London Math. Soc. 35 (1960) 209), without assuming that A is a Cohen-Macaulay ring. We will investigate when our inequality turns into an equality. It is related to the Buchsbaumness of the associated graded ring of I. |
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| Keywords: | 13D40 13H10 13H15 |
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