1) Unit stable rank
单位稳定秩
2) unit 〈I〉-stable range
单位〈I〉-稳定秩
1.
It s proved that R satisfies unit 〈I〉-stable range if and only if R satisfies unit [I]-stable range,if and only if R satisfies unit(I)-stable range and I has stable range one.
证明R满足单位〈I〉-稳定秩当且仅当R满足单位[I]-稳定秩,当且仅当R满足单位(I)-稳定秩且I有稳定秩1,并将结论应用到正则理想以及矩阵环等相关情形,获得R满足单位〈I〉-稳定秩的一系列等价条件。
3) unit [I]-stable range
单位[I]-稳定秩
1.
It s proved that R satisfies unit 〈I〉-stable range if and only if R satisfies unit [I]-stable range,if and only if R satisfies unit(I)-stable range and I has stable range one.
证明R满足单位〈I〉-稳定秩当且仅当R满足单位[I]-稳定秩,当且仅当R满足单位(I)-稳定秩且I有稳定秩1,并将结论应用到正则理想以及矩阵环等相关情形,获得R满足单位〈I〉-稳定秩的一系列等价条件。
4) unit 1-stable rank
单位1-稳定秩
1.
Let I be an ideal of a ring R,I is said to satify unit 1-stable rank provided that ax+b=1 with a,x∈I,b∈R implies that a+bu∈U(R) for a u∈U(R).
假定I是环R的理想,称I满足单位1-稳定秩,如果ax+b=1,a,x∈I,b∈R可推出有u∈U(R)使得a+bu∈U(R)。
5) stable rank
稳定秩一
1.
In this paper,we prove that a simple unital C~*-algebra with tracial stable rank one has cancellation property,with this result we show that a simple unital C~*-algebra with tracial stable rank one is stable rank one.
本文证明了一个单的有单位元的迹稳定秩一的C~*-代数具有消去律,利用此结果证明了单的有单位元的迹稳定秩一的C~*-代数是稳定秩一的。
6) Λ-stable range condition
Λ-稳定秩
1.
By using Λ-stable range condition,it is proved that when the Witt index of module M is no less than ΛS(R)+1,the map U2n(R,Λ)/EU2n(R,Λ)→U(M,q)/EU(M,q) is subjective.
利用Λ-稳定秩条件,证明了当模M的Witt指数n大于等于ΛS(R)+1时,映射U2n(R,Λ)/EU2n(R,Λ)→U(M,q)/EU(M,q)是满射。
补充资料：誾誾秩秩
1.人才众多貌。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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