That every octaven is similar with a complex number and that every polynomial with a positive degree over Cayley algebra has at least one right nullpoint in Cayley algebra are proved in the paper.
证明了实数域上的Cayley代数中的每个元都与复数相似,且其上每个次数不小于1的λ多项式在此代数中必有右零点。
In this paper a new concept called normal base of right null space for rational matrix is introduced.
本文引入了有理函数矩阵右零空间标准基的概念。