| G-集分次模与Morita Context |
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| 引用本文： | 孙建华.G-集分次模与Morita Context[J].数学学报,1996,39(1):84-95. |
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| 作者姓名： | 孙建华 |
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| 作者单位： | 扬州大学师范学院数学系!扬州225002 |
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| 基金项目： | 国家自然科学基金资助项目． |
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| 摘 要： | 对任意群Ｇ， Ｈ≤Ｇ，［１］研究了Ｇ－分次环Ｒ与有限可迁Ｇ－集的ｓｍａｓｈ积.在本文中我们对任意可迁Ｇ－集，讨论了一个关于Ｒ（Ｈ）与ｓｍａｓｈ积Ｒ＃Ｇ／Ｈ的Ｍｏｒｉｔａ ｃｏｎｔｅｘｔ，从而推广了［２］，［３］，［４］给出的关于Ｇ－分次环及其与群Ｇ的ｓｍａｓｈ积的一些重要结果．
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| 关 键 词： | 群分次环 G-集 smash积 Moritacontext |
| 收稿时间： | 1993-11-1 |
| 修稿时间： | 1994-7-13 |
G-sets Graded Modules and Morita Context |
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| Sun Jianhua.G-sets Graded Modules and Morita Context[J].Acta Mathematica Sinica,1996,39(1):84-95. |
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| Authors: | Sun Jianhua |
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| Institution: | Sun Jianhua (Department of Mathematics,Teacher's College,Yangzhou Univesity,Yangzhou 225002, China) |
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| Abstract: | Let R be a ring graded by any group G, H ≤ G. In 1], C. Nastasescu et al. discussed the smash product R#G/H with respect to finite G-set G/H. Our purpose in this paper is to consider a G/H-graded module and form a Morita context about R#G/H and R(H), with respect to any G-set G/H. We then apply them to discuss respectively the primitive, simplicity, prime and semiprime relating to R#G/H and R(H). In particular,we generalize some important results about group-graded rings in 2], 3] and 4]. |
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| Keywords: | group-graded G-set smash product Morita context |
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