Abstract
R is a commutative reduced ring. If X⊆R,rR(X)={r∈R:Xr=0}. A ring homomorphism f : R → S is an exoteric homomorphism if for all pairs (I, J) of finitely generated ideals of R, rR(I) = rR(J) implies rS(f(I)) = rS(f(J)). Rings for which Qmax(R), the maximal quotient ring of R, is a flat R-module and rings which contain no finitely generated dense ideals are amongst the classes of rings which may be characterised through these homomorphisms.
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