(λ,μ)Vague商环  

(λ, μ) Vague quotient rings

作　　者：周军梅[1] 辛小龙[1] 

机构地区：[1]西北大学数学系,西安710127

出　　处：《计算机工程与应用》2013年第12期50-52,96,共4页Computer Engineering and Applications

基　　金：陕西省教育厅专项科研基金资助项目(No.08JK472)

摘　　要：引入了(λ,μ)Vague环,(λ,μ)Vague理想的概念,利用截集给出了它们的等价刻画,研究了同态映射下它们的像与原像的问题,在此基础上通过构造陪集的方法引入了(λ,μ)Vague商环,给出了(λ,μ)Vague商环的同构定理,初步探索了(λ,μ)Vague环的理论。In this paper, （λ,μ） Vague rings, （λ,μ） Vague ideals are introduced. The equivalent characterizations of them are giv- en by using cut sets, and the problems of their image and their inverse image under the homomorphism are studied. Based on that the concept of （λ,μ） Vague quotient ring is introduced by constructing coset and its isomorphism is given. The theory of （λ,μ） Vague rings is preliminarily explored.

关 键 词：VAGUE集 Vague群 (λ μ)Vague环 (λ μ)Vague理想 (λ μ)Vague商环 

分 类 号：O159[理学—数学]