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Left orders in Abelian regular rings

Published online by Cambridge University Press:  26 February 2010

S. Talwar
S. Talwar
Affiliation:
LITP Institut Blaise Pascal, Tour 55-65, 4 Place Jussieu, 75252 Paris, Cedex 05, France.
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Abstract

In this paper we characterize Fountain-Gould left orders in abelian regular rings. Our first approach is via the multiplicative semigroups of the rings. We then represent certain rings by sheaves. Such representations lead us to a characterization of left orders in abelian regular rings such that all the idempotents of the quotient ring lie in the left order.

MSC classification

Secondary: 16H05: Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
Type
Research Article
Information
Mathematika , Volume 40 , Issue 2 , December 1993 , pp. 256 - 274
Copyright
Copyright © University College London 1993

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