  We derive general and explicit expressions for the unrenormalized and
renormalized dressed propagators of fermions in parity-nonconserving theories
with inter-generation mixing. The mass eigenvalues, the corresponding mass
counterterms, and the effect of inter-generation mixing on their determination
are discussed. Invoking the Aoki-Hioki-Kawabe-Konuma-Muta renormalization
conditions and employing a number of very useful relations from Matrix Algebra,
we show explicitly that the renormalized dressed propagators satisfy important
physical properties.
