| Equivalence of Some Conditions in Left Continuous Rings |
| Received:September 28, 1998 |
| Key Words:
left continuous ring left self-injective ring left Z1-ring.
|
| Fund Project: |
|
| Hits: 2181 |
| Download times: 1197 |
| Abstract: |
| In this paper, we obtain following results: 1). Let R be a left continuous ring, then R be a left Artinian iff R satisfies left restricted finite condition iff R satisfies DCC on essential left ideals iff R satisfies ACC on essential left ideals. In addition we give a sufficient and necessary condition under which a left self-injective ring is a QF ring.2). It is proved that for a left Z1-ring R, if M is a finitely generated R-module, then M satisfies Artin-Raes property. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2001.02.019 |
| View Full Text View/Add Comment |
