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Communications in Algebra Volume 24, 1996 - Issue 1

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Original Articles

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

P.N. Ánh Mathematical Institute, Hungarian Academy of Sciences, Pf. 127, Budapest, H-1364, Hungary

L. Márki Mathematical Institute, Hungarian Academy of Sciences, Pf. 127, Budapest, H-1364, Hungary

Pages 289-294 | Received 01 Dec 1994, Published online: 27 Jun 2007

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https://doi.org/10.1080/00927879608825567

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Abstract

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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