a Institute of Mathematics, University of Warsaw, ul. Banacha 2, PL-02-097 Warszawa, Poland b Department of Mathematics, Chalmers University of Technology and Göteborg University, S-412 96 Göteborg, Sweden
Abstract:
The aim of the paper is to determine all free separable quadratic algebras over the rings of integers of quadratic fields in terms of the properties of the fundamental unit in the real case. The paper corrects some earlier published results on the subject.