2025-02-23T00:21:01-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-164346%22&qt=morelikethis&rows=5
2025-02-23T00:21:01-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-164346%22&qt=morelikethis&rows=5
2025-02-23T00:21:01-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T00:21:01-05:00 DEBUG: Deserialized SOLR response
Quasi-Frobenius Rings and Nakayama Permutations of Semiperfect Rings

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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Bibliographic Details
Main Authors: Dokuchaev, M.A., Kirichenko, V.V.
Format: Article
Language:English
Published: Інститут математики НАН України 2002
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/164346
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http://dspace.nbuv.gov.ua/handle/123456789/164346

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