Rings of almost unit stable rank 1

• Date: 2011
• Main Authors: Vasyunyk, I. S., Zabavskii, B. V., Васюник, І. С., Забавський, Б. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2767
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce the notion of a ring of almost unit stable rank 1 as generalization of a ring of unit stable rank 1. We prove that the ring of almost unit stable rank 1 with the nonzero Jacobson radical is a ring of unit stable rank 1 and is also a 2-good ring. We introduce the notion of an almost 2-...