scholarly journals Injective stability for odd-dimensional unitary K1{K_{1}}

2020 ◽  
Vol 23 (2) ◽  
pp. 313-325 ◽  
Author(s):  
Weibo Yu
Keyword(s):  
Decomposition Theorem ◽  
Stability Theorem ◽  
Stable Range ◽  
Elementary Subgroup ◽  
Range Condition

AbstractIn this paper, under the usual stable range condition, a decomposition theorem for the elementary subgroup is obtained, and the injective stability theorem for odd-dimensional unitary {K_{1}} is proved.

Injective stability for unitary K1, revisited

2013 ◽  
Vol 11 (2) ◽  
pp. 233-242 ◽  
Author(s):  
S. Sinchuk
Keyword(s):  
Stability Theorem ◽  
Stable Range ◽  
Range Condition ◽  
The Stability

AbstractWe prove the injective stability theorem for unitary K1 under the usual stable range condition on the ground ring. This improves the stability theorem of A. Bak, V. Petrov and G. Tang where a stronger Λ-stable range condition was used.

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

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 Rings with many idempotents

1999 ◽  
Vol 22 (3) ◽  
pp. 547-558 ◽  
Author(s):  
Huanyin Chen
Keyword(s):  
Stable Range ◽  
Range Condition

We introduce a new stable range condition and investigate the structures of rings with many idempotents. These are also generalizations of corresponding results of J. Stock and H. P. Yu.

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
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