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反群及其结构
引用本文:徐斌.反群及其结构[J].玉溪师范学院学报,2008,24(12):56-58.
作者姓名:徐斌
作者单位:思茅师范高等专科学校数学系,云南,普洱,665000
摘    要:定义了两种代数结构反群和亚环,并对其结构进行了研究,得到:一个反群能诱导出一个交换群,这使得交换群的构作有了新的途径,也增进了对交换群结构的认识;再者亚环上可以造出结合律和分配律,从而又可开展一系列新的代数结构.

关 键 词:反群  亚环  诱导  代数结构

Opp-Group and Its Structure
XU Bin.Opp-Group and Its Structure[J].Journal of Yuxi Teachers' College,2008,24(12):56-58.
Authors:XU Bin
Institution:XU Bin(Mathematics Dept.,Simao Teachers\' College,Pu\'er,Yunnan 665000)
Abstract:This article defined two types of algebraic structure,Opp-Group and Quasi-Ring,and analyzed their structure.The article found out that an Opp-Group can introduce an abelian group,which means a new method to producing abelian group while improving our understanding of the abelian group.Besides,the Quasi-Ring can lead to the associative law and distributive law.Consequently,various algebraic structures can be developed.
Keywords:Opp-Group  Quasi-Ring  Introduction  Algebraic Structure  
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