环的θ-模糊同态  

θ-Fuzzy Homomorphism of Rings

作　　者：周锋[1] 薄纯鑫[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2015年第1期24-29,49,共7页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目(71140008)资助

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θ-模糊映射给出了环的θ-模糊同态的定义,从而研究了θ-模糊同态下θ-模糊子环和θ-模糊理想的对应关系及若干性质,最后建立了环的θ-模糊同态基本定理.Fuzzy produced by different fuzzy homomorphism and the θ-fuzzy ideals shes the fundamental homomorphism is one of the important concepts of fuzzy algebra, which can be fuzzy mappings. This paper uses the θ-fuzzy mapping to give the definition of θ- of rings. What＇s more, it studies the relationships between the θ-fuzzy subrings and some properties under the O-fuzzy homomorphism. Finally, this paper establi- theorem of θ-fuzzy homomorDhism of rings.

关 键 词：θ-模糊映射 θ-模糊子环 θ-模糊理想 θ-模糊同态 

分 类 号：O153[理学—数学]