International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 12, Pages 763-770
doi:10.1155/S016117120100552X
Exchange rings having stable range one
Huanyin Chen
Department of Mathematics, Hunan Normal University, Changsha 410006, China
Abstract
We investigate the sufficient conditions and the necessary conditions on an exchange ring R under which R has stable range one. These give nontrivial generalizations of Theorem 3 of V. P. Camillo and H.-P. Yu (1995), Theorem 4.19 of K. R. Goodearl (1979, 1991), Theorem 2 of R. E. Hartwig (1982), and Theorem 9 of H.-P. Yu (1995).