粗糙群及粗糙商群的部分性质探讨  

Discussion to Part Properties of Rough Group and Quotient Group

作　　者：刘静[1] 郭继东[1] 

机构地区：[1]伊犁师范学院数学系,新疆伊宁835000

出　　处：《白城师范学院学报》2008年第3期8-10,共3页Journal of Baicheng Normal University

摘　　要：本文主要讨论了粗糙集理论在代数系统——群上的应用,基于代数系统中的同余关系,提出了粗糙商群的另一定义,进而讨论了粗糙商群的一些性质定理及其证明,同时本文对某些错误定理做了修改并给了证明,而对某些定理的繁琐证明进行了简化。In this paper,the main work is to discuss the application of rough sets theory on the algebra system——group.Based on the notion of the congruence relation in a rough semi-group,another definition of the rough quotient group is introduced,and then some properties and theorems which are related to the rough group and rough quotient group and then proved them.At the same time,some wrong theorems are magnified and proved,and some theorems are simplified.

关 键 词：粗糙群 粗糙商群 粗糙集 同余关系 

分 类 号：O159[理学—数学]