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arXiv · 2202.02356

On some notions of rank for matrices over tracts

Matthew Baker·Noah Solomon·Tianyi Zhang
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Abstract

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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Matthew Baker, Noah Solomon, Tianyi Zhang. 2025-07-01. On some notions of rank for matrices over tracts. https://arxiv.org/abs/2202.02356

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