Orders in semiprime rings with minimal condition for principal right ideals-Reference-Cited by-同舟云学术

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Orders in semiprime rings with minimal condition for principal right ideals

Published:1992 Issue:3-4 Volume:121 Page:375-380
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Fountain John,Gould Victoria

Abstract

SynopsisAn alternative proof of a theorem which characterises orders in semiprime rings with minimal condition is given. The approach used is to make use of the corresponding result for prime rings and is inspired by Herstein's proof of Goldie's theorem on orders in semisimple Artinian rings.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. 2 Fountain J. B. and Gould V. A. R. . Straight left orders in rings. Quart. J. Math. Oxford Ser. (2) (to appear).

2. 4 Gould V. A. R. . Straight left orders (Technische Hochschule Darmstadt, preprint).

3. Sul teorema di Goldie;Herstein;Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.,1963

4. Orders in rings without identity

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Maximal orders in semigroups1;Communications in Algebra;1999-01

2. Algebraic lattices and nonassociative structures;Proceedings of the American Mathematical Society;1998

3. Nondegenerate Jordan Algebras Satisfying Local Goldie Conditions;Journal of Algebra;1996-05

4. Orders in rings without identity;Communications in Algebra;1990-01

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