Abstract
In this paper, we investigate regular rings with finite stable range by matrices over them. This will give generalizations of Theorem by Guralnick and Lanski (Linear Algeb. Appl. 1982, 47, 111–115) and of Theorem 13 by Henriksen (Arch. der Math.1973, 23, 133–141). We also prove that every separative simple regular ring with finite stable range is unit-regular.
ACKNOWLEDGMENTS
This work is supported by National Natural Science Foundation of China(19801012) and Ministry of Education of China.