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Left orders in Abelian regular rings
Published online by Cambridge University Press: 26 February 2010
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.
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- Copyright © University College London 1993