Rings of almost unit stable rank 1

  • I. S. Vasyunyk Львiв. нац. ун-т iм. I. Франка
  • B. V. Zabavskii

Abstract

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-good ring. We show that an adequate domain is an almost 2-good ring.
Published
25.06.2011
How to Cite
Vasyunyk, I. S., and B. V. Zabavskii. “Rings of Almost Unit Stable Rank 1”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 6, June 2011, pp. 840-3, https://umj.imath.kiev.ua/index.php/umj/article/view/2767.
Section
Short communications