Quasi-Frobenius Rings and Nakayama Permutations of Semiperfect Rings

• Date: 2002
• Main Authors: Dokuchaev, M. A., Kirichenko, V. V., Докучаєв, М. А., Кириченко, В. В.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4128
• Journal Title: 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...