| ID | 60872 |
| フルテキストURL | |
| 著者 |
Puthenpurakal, Tony J.
Department of Mathematics, IIT Bombay
|
| 抄録 | Let (A, m) be an excellent normal domain of dimension two. We define an m-primary ideal I to be a pg -ideal if the Rees algebra A[It] is a Cohen-Macaulay normal domain. If A has infinite residue field then it follows from a result of Rees that the product of two pg ideals is pg . When A contains an algebraically closed field k ∼= A/m then Okuma, Watanabe and Yoshida proved that A has pg -ideals and furthermore product of two pg -ideals is a pg ideal. In this article we show that if A is an excellent normal domain of dimension two containing a field k ∼= A/m of characteristic zero then also A has pg -ideals.
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| キーワード | pg -ideal
normal Rees rings
Cohen-Macaulay rings
stable ideals
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| 備考 | Mathematics Subject Classification. Primary 13A30, 13B22; Secondary 13A50, 14B05.
|
| 発行日 | 2021-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
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| 巻 | 63巻
|
| 号 | 1号
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| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
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| 開始ページ | 167
|
| 終了ページ | 173
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| ISSN | 0030-1566
|
| NCID | AA00723502
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| 資料タイプ |
学術雑誌論文
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| 言語 |
英語
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| 著作権者 | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
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| 論文のバージョン | publisher
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| 査読 |
有り
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| Submission Path | mjou/vol63/iss1/10
|
