Γ-环的(∈,∈∨q_(λ,μ))-模糊Γ-完全素理想  

(∈,∈∨q)-fuzzy Γ-completely Prime Ideals

作　　者：陈静[1] 廖祖华[1] 范莹莹[1] 张余娟 曾俊俏 范晓威 

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3期45-53,共9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资助项目(201109);江南大学大学生创新训练计划项目(2011-596)

摘　　要：给出Γ-环的(∈,∈∨q(λ,μ))-模糊Γ-理想、广义模糊Γ-理想和(∈,∈∨q(λ,μ))-模糊Γ-完全素理想的新概念及它们的等价刻画,研究(∈,∈∨q(λ,μ))-模糊Γ-完全素理想的交、并性质,获得由它的Γ-完全素理想族生成的模糊集是(∈,∈∨q(λ,μ))-模糊Γ-完全素理想的结论。另外还讨论(∈,∈∨q(λ,μ))-模糊Γ-完全素理想的同态像与同态原像的性质。In this paper, firstly we put forward the new concepts of （∈,∈∨q）-fuzzy P-ideals, generalized fuzzy P-ideals and （∈,∈∨q）-fuzzy P-completely prime ideals. And some of their equivalent descriptions were given. Then, we studied the attributes of their intersection and union, and obtained the conclusion that the fuzzy set generated by the family of Г-completely prime ideals is （∈,∈∨q）-fuzzy Г-completely prime ideals. Finally, the properties of the image and the preimage of （∈,∈∨q（λ,μ）-fuzzy P-completely prime ideals were discussed.

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

分 类 号：O152[理学—数学]