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MATSUOKA Naoyuki
Department Undergraduate School , School of Science and Technology Position Professor |
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| Language | English |
| Publication Date | 2018/03 |
| Type | Academic Journal |
| Peer Review | Peer reviewed |
| Title | Almost Gorenstein Rees algebras of p<inf>g</inf>-ideals, good ideals, and powers of the maximal ideals |
| Contribution Type | Co-authored (Other) |
| Journal | Michigan Mathematical Journal |
| Journal Type | Another Country |
| Volume, Issue, Page | 67,pp.159-174 |
| Author and coauthor | Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi, Ken Ichi Yoshida |
| Details | © 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 |
| PermalinkURL | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85043514890&origin=inward |