| 分次环的Smash积A#G*与单位分量Ae理想间的对应 |
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| 引用本文： | 蔡传仁,方洪锦. 分次环的Smash积A#G*与单位分量Ae理想间的对应[J]. 数学研究及应用, 2000, 20(2): 271-276 |
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| 作者姓名： | 蔡传仁 方洪锦 |
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| 作者单位： | 扬州大学理学院;扬州大学理学院 |
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| 基金项目： | 国家自然科学基金(19971073)资助项目 |
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| 摘 要： | 本文对任意群G上的任意分次环A,建立了Smash积A#G*和单位分量Ae理想间的对应关系,并运用所建立的对应关系研究分次环的Smash积A#G*和Ae的半素性,素性和单性.
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| 关 键 词： | 群分次环 Smash积 理想. |
| 文章编号： | 1000-341(2000)02-0271-06 |
| 修稿时间： | 1997-01-20 |
Correspondence between Ideals of A#G* and Indeals of Ae for Graded Ring A |
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| CAI Chuan-ren and Fang Hong-jin. Correspondence between Ideals of A#G* and Indeals of Ae for Graded Ring A[J]. Journal of Mathematical Research with Applications, 2000, 20(2): 271-276 |
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| Authors: | CAI Chuan-ren and Fang Hong-jin |
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| Affiliation: | Dept. of Math.; Yangzhou University; Jiangsu 225002;Dept. of Math.; Yangzhou University; Jiangsu 225002 |
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| Abstract: | M. Cohen and S. Montgomery built the corresponding relations between ideals of the smash product A#G* and ideals of the identity component Ae for a ring A graded by a finite group G. It is goal of this paper to give the corresponding relations for any group-graded ring, and to apply it to investigate the semisimplicity primeness and primitiveness of the smash product A#G* and Ae for a graded ring A. |
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