Serial rings and their generalizations

Kirichenko Vladimir; Plahotnyk Makar

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Articolul precedent

Articolul urmator

947

SM ISO690:2012

KIRICHENKO, 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

Numărul 1(65) / 2011 / ISSN 1024-7696 /ISSNe 2587-4322

Serial rings and their generalizations

Pag. 3-27

Kirichenko Vladimir, Plahotnyk Makar

Disponibil în IBN: 6 decembrie 2013

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Rezumat

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.

Cuvinte-cheie
Serial ring, SPSD-ring, quiver of ring

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