环的(λ,μ)-反模糊同态

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英文篇名：(λ,μ)-anti-fuzzy Homomorphism of Rings 作者：张蒙蒙 ; 姚炳学 英文作者：HANG Meng-meng;YAO Bing-xue;School of Mathematics Science,Liaocheng University; 关键词：(λ ; μ)-反模糊子环 ; (λ ; μ)-反模糊理想 ; (λ ; μ)-模糊映射 ; (λ ; μ)-反模糊同态 英文关键词：(λ,μ)-anti-fuzzy Subring;;(λ,μ)-anti-fuzzy Ideal;;(λ,μ)-fuzzy Mapping;;(λ,μ)-anti-fuzzy Homomorphism 中文刊名：MUTE 英文刊名：Fuzzy Systems and Mathematics 机构：聊城大学数学科学学院; 出版日期：2019-02-15 出版单位：模糊系统与数学 年：2019 期：v.33 基金：国家自然科学基金资助项目(11471152) 语种：中文; 页：MUTE201901002 页数：8 CN：01 ISSN：43-1179/O1 分类号：16-23

摘要

在(λ,μ)-反模糊子环与(λ,μ)-反模糊理想概念的基础上,利用(λ,μ)-模糊映射给出了环的(λ,μ)-反模糊同态的定义,进而探讨了(λ,μ)-反模糊同态下(λ,μ)-反模糊子环与(λ,μ)-反模糊理想的对应关系,最后建立了环的(λ,μ)-反模糊同态基本定理。
        Based on the concept of(λ,μ)-anti-fuzzy subring and(λ,μ)-anti-fuzzy ideal, the concept of(λ,μ)-anti-fuzzy homomorphism of rings was given with the(λ,μ)-fuzzy mapping. Also, the corresponding relations of(λ,μ)-anti-fuzzy subring and(λ,μ)-anti-fuzzy ideal under(λ,μ)-anti-fuzzy homomorphism were discussed. Finally, the fundamental theorem of(λ,μ)-anti-fuzzy homomorphism for rings were established.

引文

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