| CoHopficity of Self-Injective Rings |
| Received:April 06, 1998 |
| Key Words:
coHopfian rings self-injective rings stable range one.
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| Fund Project:Supported by the Natural Science Foundation of China (19901009) |
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| Abstract: |
| It is shown that a self-injective ring R is coHofian ring if and only if R has stable range one. This answers the open problem 5 of Varadarajian in [9] for selfinjective ring R,i.e.,Mn(R) is coHopfian for coHopfian ring R. As a consequence of we answer problem of Goodeal in the affirmative in [3], for self-injective regular rings. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2001.02.008 |
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