マツオカ　ナオユキ   MATSUOKA Naoyuki   松岡　直之    所属   明治大学  理工学部    職種   専任教授
言語種別	英語
発行・発表の年月	2018/03
形態種別	学術雑誌
査読	査読あり
標題	Almost Gorenstein Rees algebras of p<inf>g</inf>-ideals, good ideals, and powers of the maximal ideals
執筆形態	共著(その他)
掲載誌名	Michigan Mathematical Journal
掲載区分	国外
巻・号・頁	67,pp.159-174
著者・共著者	Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi, Ken Ichi Yoshida
概要	© 2018 University of Michigan. All rights reserved. Let (A,m) be a Cohen-Macaulay local ring, and let I be an ideal of A. We prove that the Rees algebra R(I) is an almost Gorenstein ring in the following cases: (1) (A, m) is a two-dimensional excellent Gorenstein normal domain over an algebraically closed field K ≅ A/m, and I is a pg-ideal; (2) (A, m) is a two-dimensional almost Gorenstein local ring having minimal multiplicity, and I =mlfor all l ≥ 1; (3) (A,m) is a regular local ring of dimension d ≥ 2, and I = md-1. Conversely, if R(ml) is an almost Gorenstein graded ring for some l ≥ 2 and d ≥ 3, then l = d - 1.
ISSN	00262285
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