FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 1, PAGES 93-119
A. Yu. Golubkov
Abstract
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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.
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Last modified: April 11, 2000