| G-分次环与G-集的Smash积和Morita Context |
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| 引用本文： | 朱彬,王尧.G-分次环与G-集的Smash积和Morita Context[J].数学研究,1997,30(2):188-192. |
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| 作者姓名： | 朱彬 王尧 |
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| 作者单位： | 北京师范大学数学系!100875 |
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| 摘 要： | 设R是G-分次环，A是G-集，（H,B)的忠实子对象，本文讨论了分次模范畴（A，R)-gr与分次模范范畴（B，Rn）-gr等价的条件；给出了R#A是单环，R#G／H是素环的刻划，所得结果均推广了已有结论。
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| 关 键 词： | 分次环 分次模 Smash积 单环 模范畴 素环 等价 结论 推广 条件 |
Smash products of G-gruded ring with G-Set and Morita C1ntexts |
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| Zhu Bin Wang Yao.Smash products of G-gruded ring with G-Set and Morita C1ntexts[J].Journal of Mathematical Study,1997,30(2):188-192. |
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| Authors: | Zhu Bin Wang Yao |
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| Institution: | Dept. Math. Beijing Normal University 100875 |
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| Abstract: | Let R be a G-graded ring A:a G-set, (H B) is a faithful subobject of (G.A). In this paper the conditions of equlvalence between the catehories of graded mosules(A,R)-gr and (B.RH)-gr, the condition of R#A being a simple rings,and the conditions of R#G/H being a prime ring are given,Allresults above extend the known results. |
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| Keywords: | Graded rings G-sets Smash products |
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