环的(λ,μ)-模糊同态  

(λ,μ)- FUZZY HOMOMORPHISM OF RINGS

作　　者：郝翠霞[1] 姚炳学[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《井冈山大学学报（自然科学版）》2014年第5期11-17,共7页Journal of Jinggangshan University (Natural Science)

基　　金：国家自然科学基金项目(11226041)

摘　　要：模糊同态是模糊代数学的重要概念之一,它可由不同的模糊映射产生。本文利用(λ,μ)-模糊映射给出了环的(λ,μ)-模糊同态的定义,从而研究了(λ,μ)-模糊同态下(λ,μ)-模糊子环和(λ,μ)-模糊理想的对应关系及若干性质,最后建立了环的(λ,μ)-模糊同态基本定理。Fuzzy homomorphism is one of the important concepts of fuzzy algebra, which can be produced by different fuzzy mappings. We use the（λ,μ）-fuzzy mapping to give the definition of（λ,μ）-fuzzy homomorphism of rings. Furthermore, we study the relationships between the（λ,μ）-fuzzy subrings and the（λ,μ）-fuzzy ideals and some properties under the（λ,μ）-fuzzy homomorphism. Finally, we establish the fundamental theorem of（λ,μ）-fuzzy homomorphism of rings.

关 键 词：(λ μ)-模糊映射 (λ μ)-模糊子环 (λ μ)-模糊理想 (λ μ)-模糊同态 

分 类 号：O153[理学—数学]