| 关于半局部群环 |
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| 引用本文： | 昝立博,陈建龙.关于半局部群环[J].东北数学,2007,23(2):151-156. |
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| 作者姓名： | 昝立博 陈建龙 |
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| 作者单位： | Department of Mathematics Southeast University，Department of Mathematics Southeast University Nanjing，210096，Nanjing，210096 |
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| 基金项目： | 国家自然科学基金
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江苏省自然科学基金
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教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | Let R be an associative ring with identity.R is said to be semilocal if R/J(R)is(semisimple)Artinian,where J(R)denotes the Jacobson radical of R.In this paper,we give necessary and sufficient conditions for the group ring RG to be semilocal,where G is a locally finite nilpotent group.
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| 关 键 词： | 半局部环 群环 局部有限群 幂零群 |
| 文章编号： | 1000-1778（2007）02-0151-06 |
| 收稿时间： | 2006-06-09 |
| 修稿时间： | 2006-06-09 |
On Semilocal Group Rings |
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| ZAN Li-bo,CHEN Jian-long.On Semilocal Group Rings[J].Northeastern Mathematical Journal,2007,23(2):151-156. |
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| Authors: | ZAN Li-bo CHEN Jian-long |
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| Institution: | Department of Mathematics, Southeast University, Nanjing, 210096 |
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| Abstract: | Let R be an associative ring with identity.R is said to be semilocal if R/J(R)is(semisimple)Artinian,where J(R)denotes the Jacobson radical of R.In this paper,we give necessary and sufficient conditions for the group ring RG to be semilocal,where G is a locally finite nilpotent group. |
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| Keywords: | semilocal ring group ring locally finite group nilpotent group |
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