On some notions of rank for matrices over tracts
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913920159055872 |
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| author | Baker, Matthew Solomon, Noah Zhang, Tianyi |
| author_facet | Baker, Matthew Solomon, Noah Zhang, Tianyi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_02356 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On some notions of rank for matrices over tracts Baker, Matthew Solomon, Noah Zhang, Tianyi Combinatorics Rings and Algebras 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. |
| title | On some notions of rank for matrices over tracts |
| topic | Combinatorics Rings and Algebras |
| url | https://arxiv.org/abs/2202.02356 |