2011年2月
On the Buchsbaum-Rim function of a parameter module
JOURNAL OF ALGEBRA
- ,
- 巻
- 327
- 号
- 1
- 開始ページ
- 307
- 終了ページ
- 315
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.jalgebra.2010.09.035
- 出版者・発行元
- ACADEMIC PRESS INC ELSEVIER SCIENCE
In this article, we prove that the Buchsbaum-Rim function l(A)(S(nu+1) (F)/N(nu+1)) of a parameter module N in F is bounded above by e(F/N)((nu+d+r-1)(d+r-1)) for every integer nu >= 0. Moreover, it turns out that the base ring A is Cohen-Macaulay once the equality holds for some integer nu. As a direct consequence, we observe that the first Buchsbaum-Rim coefficient e(1)(F/N) of a parameter module N is always non-positive. (C) 2010 Elsevier Inc. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.jalgebra.2010.09.035
- ISSN : 0021-8693
- Web of Science ID : WOS:000286285000015