Original Articles

UNITS AND ISOMORPHISM IN GROUP RINGS

Published in: Quaestiones Mathematicae
Volume 8 , issue 1 , 1985 , pages: 9–14

DOI: 10.1080/16073606.1985.9631896

Author(s): M.M. Parmenter , Canada

Keywords: 16A26

Abstract

In this brief note, we are concerned with two problems. First we study the units of RG when R is commutative and G is right-ordered. Earlier results of the author and also of Karpilovsky are improved. Secondly, we show that if R and S are P. I. D.'s which do not contain fields and R>x< = S>x<, then R = S.

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