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Two-sided localization in semiprime FBN rings

Published online by Cambridge University Press:  17 April 2009

M. H. Upham
M. H. Upham
Affiliation:
Department of Mathematics, Southern Illinois University, Carbondale, Illinois 62901, USA.
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Abstract

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The main result of this paper is that the left- and right-quotient rings at a hereditary link closed set of prime ideals of a semiprime fully bounded Noetherian (FBN) ring coincide. This was a result already known for nonsemiprime FBN rigns, but a question left open in the semiprime case. A cornerstone of our approach is that the torsion theory determined by a link-closed hereditary set of prime ideals in an FBN ring is “nice”, but not necessarily perfect. Some conditions which do produce perfect torsion theories are investigated.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 2 , October 1984 , pp. 179 - 191
Copyright
Copyright © Australian Mathematical Society 1984

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