Right Bézout ring with waist is a right Hermite ring

  • A. I. Gatalevych Львів, нац. ун-т

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.
Published
25.01.2010
How to Cite
Gatalevych, A. I. “Right Bézout Ring With Waist Is a Right Hermite Ring”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 1, Jan. 2010, pp. 136–138, http://umj.imath.kiev.ua/index.php/umj/article/view/2849.
Section
Short communications