ABSTRACT
ARON SIMIS Departmento de Matema´tica, Universidade Federal de Pernambuco, Recife, Brazil E-mail: aron@dmat.ufpe.br
The original goal of this paper was to translate the classical results of Saito ([7]) on logarithmic vector fields to the polynomial case and subsequently prove them anew by pure ring theory. As it turned out, the project landed on very basic module theory. Moreover, by just going slightly more nonsensical one found a general frame for other questions as well. This explains why parts of the present version look so far apart from the original purpose, for which we expect the reader’s indulgence.
