Exchange rings having stable range one

Huanyin Chen
2001 International Journal of Mathematics and Mathematical Sciences  
We investigate the sufficient conditions and the necessary conditions on an exchange ringRunder whichRhas 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).
doi:10.1155/s016117120100552x fatcat:32fgjoxy25b7zmdv7lnae2s6ki