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Left orders in Abelian regular rings
Author(s) -
Talwar S.
Publication year - 1993
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300007038
Subject(s) - mathematics , abelian group , quotient , multiplicative function , pure mathematics , ring (chemistry) , order (exchange) , mathematical analysis , chemistry , organic chemistry , finance , economics
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.