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半群中的(λ,μ)-模糊素理想与(λ,μ)-模糊准素理想 被引量:4

(λ,μ)-fuzzy Prime Ideals and(λ,μ)-fuzzy Primary Ideals in Semigroups
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摘要 利用(λ,μ)-截集,在一个半群中引入了(λ,μ)-模糊素理想、模糊半素理想、模糊准素理想与模糊半准素理想的概念,研究了他们的运算性质,并得到了他们的一些等价条件。 In order to generalize the notions of various fuzzy ideals in a semigroup,the concepts of(λ,μ)-fuzzy prime ideal and(λ,μ)-fuzzy primary ideal are introduced based on(λ,μ)cut set.Some properties of(λ,μ)-fuzzy prime ideal are discussed and several equivalent conditions are obtained.
出处 《模糊系统与数学》 CSCD 北大核心 2010年第5期31-36,共6页 Fuzzy Systems and Mathematics
基金 山东省自然科学基金资助项目(G2007H02)
关键词 μ)-模糊理想 μ)-模糊素理想 μ)-模糊半素理想 μ)-模糊准素理想 μ)-模糊半准素理想 (λ μ)-fuzzy Ideal (λ μ)-fuzzy Prime Ideal (λ μ)-fuzzy Semiprime Ideal (λ μ)-fuzzy Primary Ideal (λ μ)-fuzzy Semiprimary Ideal
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参考文献16

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二级参考文献6

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共引文献12

同被引文献14

  • 1张诚一.Fuzzy子环的商环与直和[J].模糊系统与数学,1993,7(1):93-100. 被引量:27
  • 2袁学海,冯艳萍,王岚,段瑞霞.(■,■∨■)-模糊子群的水平子群[J].辽宁师范大学学报(自然科学版),2005,28(3):270-272. 被引量:3
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  • 8KUROKI N. Fuzzy semiprime ideals in semigroups [ J ]. Fuzzy Sets and Systems, 1982 (8) : 71 -79.
  • 9李娟,牛錡,张诚一.直觉模糊子环及其同构[J].模糊系统与数学,2009,23(2):98-105. 被引量:8
  • 10姜曼,辛小龙.(λ,μ)直觉模糊子环(理想)[J].模糊系统与数学,2013,27(1):1-8. 被引量:2

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