摘要
主要讨论粗糙集理论在群上的应用,基于有关粗糙群中的等价关系、粗糙正规子群、粗糙商群,粗糙群中的同态和同构的概念,进一步讨论了粗糙群的同构,提出了粗糙群的三个同构定理,并给出了这些结论的一个严格证明,进一步丰富了代数中的粗糙集理论．
This article mainly discusses the application of rough sets theory to algebra system -group. On the basis of the equivalent relation of rough group, the concept of rough normal subgroup, rough quotient group, homomorphism and isomorphism of rough groups, the isomorphism of rough groups are further discussed and three theorems are introduced and proved, which make rough sets theory in algebra much richer.
出处
《宜宾学院学报》
2006年第12期29-31,共3页
Journal of Yibin University
基金
国家自然科学基金资项目(60364001)
关键词
粗糙群
粗糙子群
粗糙正规子群
粗糙商群
粗糙同态
粗糙同构
Rough Groups
Rough Subgroups
Rough Normal Groups
Rough Quotient Groups
Rough Homomorphism
Rough Isomorphism
