Quasi-Frobenius Rings and Nakayama Permutations of Semiperfect Rings
We say that A is a ring with duality for simple modules, or simply a DSM-ring, if, for every simple right (left) A-module U, the dual module U* is a simple left (right) A-module. We prove that a semiperfect ring is a DSM-ring if and only if it admits a Nakayama permutation. We introduce the notion o...
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| Date: | 2002 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2002
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| Series: | Український математичний журнал |
| Subjects: | |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Quasi-Frobenius Rings and Nakayama Permutations of Semiperfect Rings / M.A. Dokuchaev, V.V. Kirichenko // Український математичний журнал. — 2002. — Т. 54, № 7. — С. 919–930. — Бібліогр.: 20 назв. — англ. |