L-fuzzy正规子群的同态像和同态原像  

Homomorphism Images and Homomorphism Inverse Images of L-fuzzy Normal Subgroups

作　　者：刘红玉 霍东华 LIU Hong-yu;HUO Dong-hua(Mudanjiang Normal University,School of Mathematical Sciences,Mudanjiang 157012,China)

机构地区：[1]牡丹江师范学院数学科学学院,黑龙江牡丹江157012

出　　处：《模糊系统与数学》2022年第4期34-39,共6页Fuzzy Systems and Mathematics

基　　金：牡丹江师范学院青年一般项目(QN2018006);牡丹江师范学院国家级培育项目(GP2020005)。

摘　　要：本文根据L-fuzzy映射给出了L-fuzzy群同态的一种定义,研究了它的等价刻画,并证明了L-fuzzy正规子群的同态像仍为L-fuzzy正规子群,L-fuzzy正规子群的同态原像仍为L-fuzzy正规子群。In this paper,a definition of L-fuzzy groups homomorphism is given based on L-fuzzy maps.Then we study its equivalent characterizations and prove that homomorphism image of L-fuzzy normal subgroup is still L-fuzzy normal subgroup,inverse image of L-fuzzy normal subgroup is still L-fuzzy normal subgroup.

关 键 词：L-FUZZY映射 L-fuzzy正规子群 L-fuzzy群同态 L-fuzzy群同构 

分 类 号：O159[理学—数学]