| Conţinutul numărului revistei |
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 SM ISO690:2012KIRICHENKO, Vladimir, PLAHOTNYK, Makar. Serial rings and their generalizations. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, nr. 1(65), pp. 3-27. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 1(65) / 2011 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 3-27 | ||||||
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We give a survey of results on the theory of semiprime semidistributive rings, in particular, serial rings. Besides this we prove that a serial ring is Artinian if and only if some power of its Jacobson radical is zero. Also we prove that a serial ring is Noetherian if and only if the intersection of all powers of Jacobson radical is zero. These two theorems hold for semiperfect semidistributive rings. |
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| Cuvinte-cheie Serial ring, SPSD-ring, quiver of ring |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Kirichenko, V.V.</dc:creator> <dc:creator>Plahotnyk, M.</dc:creator> <dc:date>2011-04-01</dc:date> <dc:description xml:lang='en'>We give a survey of results on the theory of semiprime semidistributive rings, in particular, serial rings. Besides this we prove that a serial ring is Artinian if and only if some power of its Jacobson radical is zero. Also we prove that a serial ring is Noetherian if and only if the intersection of all powers of Jacobson radical is zero. These two theorems hold for semiperfect semidistributive rings.</dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 65 (1) 3-27</dc:source> <dc:subject>Serial ring</dc:subject> <dc:subject>SPSD-ring</dc:subject> <dc:subject>quiver of ring</dc:subject> <dc:title>Serial rings and their generalizations</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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