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环的θ-模糊同态 被引量:1

θ-Fuzzy Homomorphism of Rings
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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.
作者 周锋 薄纯鑫
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
关键词 θ-模糊映射 θ-模糊子环 θ-模糊理想 θ-模糊同态 θ-fuzzy mapping, θ-fuzzy subring, θ-fuzzy ideal, θ-fuzzy homomorphism
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