2017
Том 69
№ 9

All Issues

Right Bézout ring with waist is a right Hermite ring

Gatalevych A. I.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 1, pp 151-154.

Citation Example: Gatalevych A. I. Right Bézout ring with waist is a right Hermite ring // Ukr. Mat. Zh. - 2010. - 62, № 1. - pp. 136–138.

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