矩阵的广义秩

Generalized ranks of matrices

本文提出矩阵秩的几种概念,利用它们定义了剩余数,推广了〔2〕—〔5〕中相应的工作,并使之代数化。

This note describes the property of ranks, defined in the prseent note, of matrices over general rings with 1 . The anthor uses the rank to give the concept of the matrix residual number, and shows That it identifies with the analoyue in [5].