强p除环上方阵的酉相似理论(Ⅲ)

Unitary Similarity Theory of Matrices Over the Strong p-Division Ring (Ⅲ)

中文摘要:

      

英文摘要:

      In this third paper, the famous Schur theorem that an n× n complex matrix is unitary similar to an upper triangular matrix is generalized to the socalled ∑-lizable matrix over the strong p-division ring Ω, where ∑ is the algebraically closed extension field of the center of Ω , and ∑?Ω.The generalized Schur's identity and other results involving the general-ized normal matrix over Ω is obtained by using this generalized Schur theorem.