| 半群的(∈,∈ ∨q(λ,μ))-模糊k-理想(英文) |
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| 引用本文： | 廖祖华,易丽华,胡淼菡.半群的(∈,∈ ∨q(λ,μ))-模糊k-理想(英文)[J].数学杂志,2012,32(2):191-205. |
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| 作者姓名： | 廖祖华 易丽华 胡淼菡 |
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| 作者单位： | 江南大学理学院,江苏无锡,214122 |
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| 基金项目： | Supported by Program for Innovation Research Team of Jiangnan University(200902) |
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| 摘 要： | 本文研究了半群中的广义模糊k-理想和(∈,∈∨q(λ,μ))-模糊k-理想.利用模糊集的截集及模糊集的性质,获得了(∈,∈∨q(λ,μ))-模糊k-理想的等价刻画,广义模糊特征化及广义模糊k-理想直积的基本性质.最后还给出了半群S是左k-诺特的充要条件是对于S的任意广义模糊左k-理想A,Im(A)是λ,μ]上的良序子集.这些结果有重要的理论价值.
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| 关 键 词： | 广义模糊k-理想 (∈ ∈∨q(λ μ))-模糊k-理想 广义模糊特征化 模糊直和 k-诺特 |
(∈,∈ ∨q(λ,μ))-FUZZY k-IDEALS OF SEMIGROUPS |
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| LIAO Zu-hua
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YI Li-hua
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HU Miao-han.(∈,∈ ∨q(λ,μ))-FUZZY k-IDEALS OF SEMIGROUPS[J].Journal of Mathematics,2012,32(2):191-205. |
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| Authors: | LIAO Zu-hua YI Li-hua HU Miao-han |
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| Institution: | (School of Science,Jiangnan University,Wuxi 214122,China) |
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| Abstract: | This article studies generalized fuzzy k-ideals and(∈,∈ ∨q(λ,μ))-fuzzy k-ideals in semigroups.By using the axiom method,fuzzy cut sets and the properties of fuzzy sets,we obtain the equivalent characterization of(∈,∈ ∨q(λ,μ))-fuzzy k-ideals and the fundamental properties of generalized fuzzy characteristic and the direct product of generalized fuzzy k-ideals.Finally,we discuss the k-notherian semigroups and obtain that a semigroup S is left k-notherian i? Im(A) is a well-ordered subset of λ,μ] for each generalized fuzzy left k-ideals A of S. |
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| Keywords: | generalized fuzzy k-ideals (∈ ∈ ∨q(λ μ))-fuzzy k-ideals generalized fuzzy characteristic fuzzy direct product k-notherian |
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