论文标题

在某些矩阵的矩阵等级概念上

On some notions of rank for matrices over tracts

论文作者

Baker, Matthew, Solomon, Noah, Zhang, Tianyi

论文摘要

考虑到贝克和鲍勒的意义上有$ f $,以及矩阵$ a $,其中包括$ f $的条目,我们定义了几个$ a $的排名。通过这种方式,我们能够统一并在概念上找到有关矩阵等级的各种结果的令人满意的证据,这些矩阵散布在整个文献中。

Given a tract $F$ in the sense of Baker and Bowler and a matrix $A$ with entries in $F$, we define several notions of rank for $A$. In this way, we are able to unify and find conceptually satisfying proofs for various results about ranks of matrices that one finds scattered throughout the literature.

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