有限扩域上的Fuzzy子域

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。

Fuzzy Subfields on the Finite Extension Fields

In the paper3], 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 notionof the fuzzy Subfields is suggested. The Structure problems of the fuzzysubfields on the finite extension fields are discussed in detail. Severalrepresentatiue theorems which are analogous to those in 2] are obtained.Later, the notion of induced fuzzy subfields is introduced, we study theproperties of the induced fuzzy subfields on the Simple algebraic extonsionfields.