Prime rings whose units satisfy a group identity |
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Authors: | S. Mauceri |
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Affiliation: | 1. Dipartimento di Matematica e Applicazioni , Università di Palermo , Palermo, 90123, Italy mauceri@dipmat.math. unipa.it |
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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. |
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