I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 1, PAGES 93-119
A. Yu. Golubkov
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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.
All articles are published in Russian.
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Last modified: April 11, 2000