Orders in primitive rings with non-zero socle and posner's theorem

Orders in primitive rings with non-zero socle and posner's theorem

By introducing a modification of the notion of classical ring of quotients we extend, on the one hand, Goldie's theorem to non-singular prime rings with uniform one­sided ideals and, on the other hand, Posner's theorem to prime rings with a generalized polynomial identity.

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Veröffentlicht in:Communications in algebra 1996-01, Vol.24 (1), p.289-294
Hauptverfasser: Ánh, P.N., Márki, L.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
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Zusammenfassung:By introducing a modification of the notion of classical ring of quotients we extend, on the one hand, Goldie's theorem to non-singular prime rings with uniform one­sided ideals and, on the other hand, Posner's theorem to prime rings with a generalized polynomial identity.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927879608825567