| 左拟morphic群环的性质 |
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| 引用本文： | 黄青鹤,陈建龙.左拟morphic群环的性质[J].河北大学学报(自然科学版),2011,31(6):581-585. |
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| 作者姓名： | 黄青鹤 陈建龙 |
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| 作者单位： | 1. 江苏科技大学数理学院,江苏镇江,212003
2. 东南大学数学系,江苏南京,210096 |
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| 基金项目： | 国家自然科学基金资助项目(10971024); 江苏省自然科学基金资助项目(2005207); 江苏科技大学人才引进基金项目 |
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| 摘 要： | 为了对左拟morphic环进行进一步研究,讨论了左拟morphic群环的性质,并主要给出了以下结论:如果群环RG是一个左拟morphic环,则R是左拟morphic环,G是局部有限群；若G是局部有限群,那么群环RG是左拟morphic环当且仅当对任意的x∈RG,存在G的有限子群H使得x在RH中是左拟morphic的；设...
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| 关 键 词： | 左拟morphic元素 左拟morphic环 拟morphic群环 |
Properties of Left Quasi-morphic Group Rings |
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| HUANG Qing-he,CHEN Jian-long.Properties of Left Quasi-morphic Group Rings[J].Journal of Hebei University (Natural Science Edition),2011,31(6):581-585. |
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| Authors: | HUANG Qing-he CHEN Jian-long |
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| Institution: | HUANG Qing-he1,CHEN Jian-long2(1.School of Mathematics and Physics,Jiangsu University of Science and Technology,Zhenjiang 212003,China,2.Department of Mathematics,Southeast University,Nanjing 210096,China) |
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| Abstract: | Some properties of left quasi-morphic group rings were mainly considered in order to do further research on left quasi-morphic rings.The following results were mainly shown.If RG is a left quasi-morphic ring,then R is a left quasi-morphic ring and G is a locally finite group;If G is a locally finite group,RG is a left quasi-morphic ring if and only if for any element x∈RG there exists a finite subgroup H of G such that x is left quasi-morphic in RH.If G=HK is the semidirect product of finite normal subgroup H by finite subgroup K of G,RG is a left quasi-morphic ring implies that PK is also. |
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| Keywords: | left quasi-morphic element left quasi-morphic ring quasi-morphic group ring |
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