| ID | 33283 |
| FullText URL | |
| Author |
Chiba, Katsuo
|
| Abstract | 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. |
| Published Date | 2000-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume42
|
| Issue | issue1
|
| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 55
|
| End Page | 60
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| Content Type |
Journal Article
|
| language |
English
|
| File Version | publisher
|
| Refereed |
True
|
| NAID | |
| Submission Path | mjou/vol42/iss1/7
|
| JaLCDOI |
