International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 12, Pages 763-770
Exchange rings having stable range one
Department of Mathematics, Hunan Normal University, Changsha 410006, China
Received 29 October 2000
Copyright © 2001 Huanyin Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate the sufficient conditions
and the necessary conditions on an exchange ring under
which 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).