1)  stable range
稳定秩
1.
We prove that the endomorphism ring of semi-∑-quasi-projective module P has stable range at most n provided P is weakly n-epi-projective.
本文证明了若半Σ准投射模是弱n满投射的,则其自同态环的稳定秩至多为n,从而部分推广了文献[3]的—个主要结果。
2)  stable rank
稳定秩一
3)  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。
4)  Stable range one
稳定秩1
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。
5)  Tracially stable rank
迹稳定秩
6)  Bass stable rank
Bass稳定秩
参考词条
补充资料:誾誾秩秩
1.人才众多貌。
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