On Direct Sums of Lifting Modules and Internal Exchange Property

On Direct Sums of Lifting Modules and Internal Exchange Property
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关于提升模数和内部交换性质的直和

DOI:
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发表时间:
2006
影响因子:
0.7
通讯作者:
Wu Dejun
Wu Dejun
中科院分区:
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文献类型:
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作者:
Wu Dejun

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设R是有单位元的环,R是一个充分可补的R-模。然后证明了,对于i = 1,2,有且是,当且仅当对M的任一余闭子模X,存在且使得。
Let R be a ring with identity and let be an amply supplemented R-module. Then it is proved that has () and is for , i = 1, 2, if and only if for any coclosed submodule X of M, there exist and such that .