Γ-半群的(∈,∈∨_(q(λ,μ)))-模糊Γ-完全素理想  

(∈,∈∨_(q(λ,μ)))-fuzzy Γ-completely Prime Ideals of Γ-semigroups

作　　者：范晓威 廖祖华[1] 范莹莹[1] 陈静[1] 张余娟 曾俊俏 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《模糊系统与数学》2014年第2期52-61,共10页Fuzzy Systems and Mathematics

基　　金：江苏省教育科学"十一五"规划项目(D/2006/01/171);江南大学创新团队发展计划项目(201109);江南大学大学生创新训练计划项目(2011-596)

摘　　要：引入了Γ-半群的(∈,∈∨q(λ,μ))-模糊Γ-完全素理想以及广义模糊Γ-理想的概念。其次,给出了它们的等价刻画及一些相关性质。最后,得到了(∈,∈∨q(λ,μ))-模糊Γ-完全素理想的同态像与同态原像也是(∈,∈∨q(λ,μ))-模糊Γ-完全素理想的结论。Firstly, the concepts of （∈,∈∨_（q（λ,μ）））--fuzzy Γ-completely prime ideals and generalized fuzzy Γ-ideals of Γ-semigroups were introduced. Next, the equivalent descriptions and some related properties of them were given. Finally, the conclusions that the image and preimage of homomorphism of （∈,∈∨_（q（λ,μ）））-fuzzy Γ-completely prime ideals are still （∈,∈∨_（q（λ,μ）））--fuzzy Γ-completely prime ideals were obtained.

关 键 词：素理想 (∈ ∈∨q(λ μ))-模糊Γ-完全素理想 广义模糊Γ-理想 同态 

分 类 号：O159[理学—数学]