This article is cited in 4 papers

The prime ($RI^*$-decidable) radical of the unitary group over a ring with involution

A. Yu. Golubkov

M. V. Lomonosov Moscow State University

Abstract: We establish a connection between the $RI^*$-decidable radical of the unitary group and the prime radical of a ring for the case of an associative ring with involution and $1/2$ containing a suitable system of elements analogous to elementary matrices. We demonstrate the connection between existence of a decidable radical of the unitary group and nilpotency of the prime radical of a ring.

UDC: 512.54+512.552.12

Received: 01.01.1998

Bibliographic databases:

• 
•