
| ID | 33283 |
| フルテキストURL | |
| 著者 |
Chiba, Katsuo
Niihama National College of Techonology
|
| 抄録 | Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right Noetherian, (3) Let a, b be central regular elements of Q(R). Then the subring R + aR[b] of Q(R) is right Noetherian. |
| 発行日 | 2000-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 42巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 55
|
| 終了ページ | 60
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
|
| 言語 |
英語
|
| 論文のバージョン | publisher
|
| 査読 |
有り
|
| NAID | |
| Submission Path | mjou/vol42/iss1/7
|
| JaLCDOI |