Recently, Basseto and Griguolo(1) did a perturbative quantization of w
hat they called a generalized chiral Schwinger model. As a consequence
of the kind of quantization adopted, some gauge-dependent masses rais
ed in the model. On the other hand, we discussed the possibility of in
troducing a generalized Wess-Zumino term,(2) where such gauge-dependen
t masses did appear. Here we intend to show that one can construct a n
on-anomalous version of a model which include that presented by Basset
o and Griguolo as a particular case, by adding to it a generalized Wes
s-Zumino term, as proposed in Ref. 2. So we conclude that it is possib
le to construct a gauge-invariant extension of the model quoted in Ref
. 1, and this can be done through a Wess-Zumino term of the type propo
sed in Ref. 2.