| 分次可除模 |
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| 引用本文： | 贝淑坤,魏俊潮,李立斌. 分次可除模[J]. 大学数学, 1997, 0(3) |
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| 作者姓名： | 贝淑坤 魏俊潮 李立斌 |
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| 作者单位： | 扬州大学工学院基础科学系 |
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| 摘 要： | 对于Ｇ—分次环Ｒ，我们证明如下结论：（１）若Ｒ是分次正则环，则Ｒ上的任一分次左Ｒ—模都是分次可除模；（２）若Ｒ分次非退化且Ｍ是分次可除左Ｒ—模，则Ｍｅ是可除左Ｒｅ—模；（３）若Ｇ是有序群，Ｍ是可除左Ｒ—模，则Ｍ～和Ｍ～是分次可除左Ｒ—模，其中Ｍ为分次左Ｒ—模Ｎ的子模
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| 关 键 词： | 分次环 分次可除模 分次p—内射模 |
Graded Divisible Modules |
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| Bei Shukun Wei Junchao Li Libin. Graded Divisible Modules[J]. College Mathematics, 1997, 0(3) |
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| Authors: | Bei Shukun Wei Junchao Li Libin |
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| Abstract: | For a G —graded ring R . We show the following results: (1) If R is graded regular ring, then any graded left R —module are all graded divisible; (2) If graded is nondegerated and M is a graded divisible left R —module, then M e is divisible left R e —module; (3) If G is ordered group, M is divisible left R —module, then M ～ and M ～ are all graded divisible left R —module. (where M is left R —submodule of some graded left R —module) |
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| Keywords: | graded rings graded divisible modules graded left p —injective modules |
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