Gatalevych A. I.
Ukr. Mat. Zh. - 2010. - 62, № 1. - pp. 136–138
We study noncommutative rings in which the Jacobson radical contains a completely prime ideal. It is proved that a right Bézout ring in which the Jacobson radical contains a completely prime ideal is a right Hermite ring. We describe a new class of Bézout rings that are not elementary divisor rings.
Ukr. Mat. Zh. - 1999. - 51, № 7. - pp. 1001–1005
We study the spectrum of minimal prime ideals of commutative Bezout rings. We apply the results obtained to the problem of diagonal reduction of matrices over rings of this sort.