Rings with Elementary Reduction of Matrices

• Date: 2000
• Main Authors: Zabavskii, B. V., Romaniv, A. M., Забавський, Б. В., Романів, О. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4568
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish necessary and sufficient conditions under which a quasi-Euclidean ring coincides with a ring with elementary reduction of matrices. We prove that a semilocal Bézout ring is a ring with elementary reduction of matrices and show that a 2-stage Euclidean domain is also a ring with elementa...