| (λ,μ)Vague商环 |
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| 引用本文： | 周军梅,辛小龙.(λ,μ)Vague商环[J].计算机工程与应用,2013,49(12):50-52. |
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| 作者姓名： | 周军梅 辛小龙 |
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| 作者单位： | 西北大学 数学系，西安 710127 |
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| 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。
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| 关 键 词： | Vague集 Vague群 [(&lambda &mu )]Vague环 [(&lambda &mu )]Vague理想 [(&lambda &mu )]Vague商环 |
(λ,μ)Vague quotient rings |
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| ZHOU Junmei,XIN Xiaolong.(λ,μ)Vague quotient rings[J].Computer Engineering and Applications,2013,49(12):50-52. |
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| Authors: | ZHOU Junmei XIN Xiaolong |
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| Affiliation: | Department of Mathematics, Northwest University, Xi’an 710127, China |
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| Abstract: | In this paper, (λ,μ)]Vague rings, (λ,μ)]Vague ideals are introduced. The equivalent characterizations of them are given 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. |
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| Keywords: | Vague set Vague group [(λ μ)]Vague ring [(λ μ)]Vague ideal [(λ μ)]Vague quotient ring |
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