Title: Canonical bases of modules over one dimensional k-algebras,
Abstract: Let K be a field and denote by K[t], the polynomial ring with coefficients in
K. Set A = K[f1,. .. , fs], with f1,. .. , fs $\in$ K[t]. We give a procedure
to calculate the monoid of degrees of the K algebra M = F1A + $\times$ $\times$
$\times$ + FrA with F1,. .. , Fr $\in$ K[t]. We show some applications to the
problem of the classification of plane polynomial curves (that is, plane
algebraic curves parametrized by polynomials) with respect to some oh their
invariants, using the module of K{ä}hler differentials.