有理标准形存在性定理的构造性证明

A Constructive Proof of Existence Theorem for Rational Form

对抽象代数中的一个基本定理有理标准形存在性定理给出了一个构造性证明,用直观的向量形式解释了Frobenius基的结构和生成Frobenius基的向量所需的条件.

We give a constructive proof to a basic theorem in abstract algebra-the existence theorem of rational form. We explain the structure of the Frobenius basis and the condition for the vectors that generate a Frobenius basis for a linear space by visualized way of vectors.