Quasi-Frobenius Rings and Nakayama Permutations of Semiperfect Rings

• Datum: 2002
• Hauptverfasser: Dokuchaev, M. A., Kirichenko, V. V., Докучаєв, М. А., Кириченко, В. В.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4128
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...