On the basis of theory of a Kummer s prime cyclotomic field we make use of the %p%-adic the propositions of principal unit and prime element, the theory of the norm that defined logarithmic derivatives %l+{(i)}-π(υ)% by principal unit and prime element in %k%,the another methods of proof of the Kummer-Hilbert reciprocity law is given from the view point of the number.
在此我们在Kummer建立起来的素循环体理论的基础上,运用p进循环体中k中的主单位及素元的性质以及由k中主单位及素元定义的对数微商l(i)π(υ)的范数理论,从数论的角度给出该定律的另一种证明方法。
Spread the specturm relationship on B(X) to algebra with main unit element.
将 B(X)上的谱关系推广到一般的有主单位元的代数