On the stable range condition of exchange rings

1997 ◽  
Vol 25 (7) ◽  
pp. 2355-2363 ◽  
Author(s):  
Tongsuo Wu ◽  
Yonghua Xu
Keyword(s):  
Stable Range ◽  
Range Condition ◽  
Exchange Rings

Exchange Rings Satisfying the n-Stable Range Condition, II

2003 ◽  
Vol 10 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Huanyin Chen ◽  
Fu-an Li
Keyword(s):  
Stable Range ◽  
Range Condition ◽  
Exchange Rings

scholarly journals Bass's first stable range condition

1984 ◽  
Vol 34 (2-3) ◽  
pp. 319-330 ◽  
Author(s):  
L.N. Vaserstein
Keyword(s):  
Stable Range ◽  
Range Condition

scholarly journals Exchange rings having stable range one

2001 ◽  
Vol 25 (12) ◽  
pp. 763-770 ◽  
Author(s):  
Huanyin Chen
Keyword(s):  
Necessary Conditions ◽  
Sufficient Conditions ◽  
Stable Range ◽  
Exchange Ring ◽  
Stable Range One ◽  
Exchange Rings

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).

Exchange rings having ideal-stable range one

2001 ◽  
Vol 44 (5) ◽  
pp. 579-586 ◽  
Author(s):  
Huanyin Chen ◽  
Fu’an Li
Keyword(s):  
Stable Range ◽  
Stable Range One ◽  
Exchange Rings
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