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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 perfectdoi:10.1017/s0004972700001891 fatcat:sqpbaenchfbjvlz3ujwn7zktpq