| 引用本文: | 姜华彪.有限扩域上的Fuzzy子域.[J].国防科技大学学报,1988,10(1):65-69.[点击复制] |
| Jiang Huabiao.Fuzzy Subfields on the Finite Extension Fields[J].Journal of National University of Defense Technology,1988,10(1):65-69[点击复制] |
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| 有限扩域上的Fuzzy子域 |
| 姜华彪 |
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(系统工程与应用数学系)
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| 摘要: |
| 在文[3]中，引入了更一般的Fuzzy理想等概念，使 Fuzzy代数结构的研究进一步深入进行。本文作为Fuzzy 结构理论中的又一课题，引入了Fuzzy 子域等概念，对有限扩域上的Fuzzy子域的构造问题进行了比较详细的讨论，得到了几个类似于[2]中的表示定理。尔后，引入了诱导 Fuzzy子域，对单纯代数扩域上的诱导 Fuzzy子域进行了研究。 |
| 关键词: 有限扩域 ，Fuzzy子域，诱导Fuzzy子域 |
| DOI： |
| 投稿日期：1987-06-05 |
| 基金项目: |
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| Fuzzy Subfields on the Finite Extension Fields |
| Jiang Huabiao |
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(Department of Applied Mathematics and System Engineering)
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| Abstract: |
| In the paper [3]，the more general concept of fuzzy ideals was introduced，and the study of fuzzy algebraic Structure has been developed. In this paper，we make a study of another topic in the fuzzy Structure theory. The notion of the fuzzy Subfields is suggested. The Structure problems of the fuzzy subfields on the finite extension fields are discussed in detail Several representatiue theorems which are analogous to those in [2] are obtained. Later，the notion of induced fuzzy subfields is introduced，we study the
properties of the induced fuzzy subfields on the Simple algebraic extonsion fields |
| Keywords: The Finite extension field,Fuzzy subfield,Induced fuzzy subfield. |
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