Quasi-Frobenius Rings and Nakayama Permutations of Semiperfect Rings
We say that \({\mathcal{A}}\) is a ring with duality for simple modules, or simply a DSM-ring, if, for every simple right (left) \({\mathcal{A}}\) -module U, the dual module U* is a simple left (right) \({\mathcal{A}}\) -module. We prove that a semiperfect ring is a DSM-ring if and only if...
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| Date: | 2002 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4128 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |