Two-sided localization in semiprime FBN rings

M. H. Upham
1984 Bulletin of the Australian Mathematical Society  
The main result of this paper is that the left-and rightquotient 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
more » ... do produce perfect torsion theories are investigated.
doi:10.1017/s0004972700001891 fatcat:sqpbaenchfbjvlz3ujwn7zktpq