Rings of almost unit stable rank 1
AbstractWe 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.
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.