@article{Gatalevych_2010, title={Right Bézout ring with waist is a right Hermite ring}, volume={62}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2849}, abstractNote={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.}, number={1}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Gatalevych, A. I.}, year={2010}, month={Jan.}, pages={136–138} }