群的Fuzzy同态性质  

Properties of Fuzzy Homomorphism in Groups

作　　者：张建成[1] 

机构地区：[1]泉州师范学院数学系,福建泉州362000

出　　处：《泉州师范学院学报》2003年第4期13-15,共3页Journal of Quanzhou Normal University

摘　　要：研究群的Fuzzy同态性质 ,获得了子群W的像 φ′λ(W )也是子群 ,不变子群H的像φ′λ(H)也是不变子群 ;构造了两个特殊不变子群L =△{ y∈G2 ｜ x∈G1,φ(x ,y) =φ(x ,e2 ) } ,φ- 1(e2 ) =△{x∈G1｜φ(x ,e2 ) =1 } 。The article studies the propertes of Fuzzy homomorphism in groups,the results are obtained that the image φ ′ λ(W) of a subgroup W is also a subgroup,and the image φ ′ λ(H) of a invariant subgroup H is also a invariant subgroup.Forming two special invariant subgroups L and φ -1 (e 2),an important property of invariant subgroup and a fundamental theorem of Fuzzy homomorphism are obtained.

关 键 词：群 FUZZY同态 不变子群 Fuzzy同构 FUZZY映射 模糊数学 Fuzzy满同态 

分 类 号：O152[理学—数学] O159[理学—基础数学]