A note on $(\sigma ,\tau )$-Derivations on Commutative Algebras

Abstract

We study universal mapping properties of $(\sigma ,\tau )$-derivations over commutative algebras and characterize them over rings of integers of quadratic number fields. As a result we provide extension of some well known results on UFD's of such derivations to certain non-UFD's as well.

Some anomalies in the proof of one of the main theorems removed