摘要
“有限域的特征是素数p。”“有限扩域是代数扩域。”是域的理论中两个大家熟知的命题。构造了两个例子,从而证明了这两个命题的逆命题不真。
The character of a finite field is a prime number.A finite dimensional extension field is a algebraic extension field.This is two well-known propositions in field theory, In the paper, two examples are given to prove that the converse propositions of the two propositions are incorrect.
出处
《龙岩学院学报》
2006年第3期100-101,共2页
Journal of Longyan University
关键词
有限域
有限扩域
代数扩域
可离扩域
质域
finite field
finite dimensional extension field
algebraic extension field
separable extension field
prime field
