| 结合2－分次环的模及Jacobson根 |
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| 引用本文： | 陈一宏. 结合2－分次环的模及Jacobson根[J]. 东北师大学报(自然科学版), 1995, 0(4) |
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| 作者姓名： | 陈一宏 |
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| 作者单位： | 北京理工大学应用数学系 |
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| 摘 要： | 定义了结合２－分次环的模，并由模定义了结合２－分次环的Ｊａｃｏｂｓｏｎ根．证明了这个Ｊａｃｏｂｓｏｎ根和Ａ．Ｓｕｌｉｎｓｋｉ的定义是一致的，并且给出了Ｊａｃｏｂｓｏｎ半单的结合２－分次环的结构及Ｊａｃｏｂｓｏｎ根的模论特征。
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| 关 键 词： | 结合2－分次环；Jacobson根；齐次元；模左理想 |
On the Module and the Jacobson Radical of Associative 2-Graded Rings |
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| Chen Yihong. On the Module and the Jacobson Radical of Associative 2-Graded Rings[J]. Journal of Northeast Normal University (Natural Science Edition), 1995, 0(4) |
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| Authors: | Chen Yihong |
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| Abstract: | t defines the module of an associative 2-graded rings,and defines the Jacobson radical of associative 2-graded ring by it's module. It is proved that this Jacobson radical is coincided with that A. Sulinski,s definition,and give the stracture of semisimple rings and a module-theoretic characterization of the Jacobson radical. |
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| Keywords: | associative 2-graded rings Jacobson radical homogeneous modular left ideal |
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