|
|||||
|
|
Prime rings whose units satisfy a group identity |
|
| Authors: | S Mauceri |
| Institution: | 1. Dipartimento di Matematica e Applicazioni , Università di Palermo , Palermo, 90123, Italy mauceri@dipmat.math. unipa.it |
| Abstract: | Let R be a prime algebra over an infinite field and suppose that R is generated by its group of units U(R). We prove that if U(R) satisfies a group identity then R must be an integral domain. |
| Keywords: | |