FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 93-119

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

A. Yu. Golubkov

Abstract

View as HTML
View as gif image
View as LaTeX source

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.

All articles are
published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k00/k001/k00109h.htm

Last modified: April 11, 2000