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A note on quasi-Frobenius rings |
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| Authors: | Dinh Van Huynh Ngo Si Tung |
| Institution: | Institute of Mathematics, P. O. Box 631 Boho, Hanoi, Vietnam ; Institute of Mathematics, P. O. Box 631 Boho, Hanoi, Vietnam |
| Abstract: | It is shown that a semiperfect ring  is quasi-Frobenius if and only if every closed submodule of  is non-small, where  denotes the direct sum of  copies of the right  -module  and  is the first infinite ordinal. |
| Keywords: | Closed submodules small modules non-small modules quasi- Frobenius rings |
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