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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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