Effective Versions of Two Theorems of RADO-Reference-Cited by-同舟云学术

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Effective Versions of Two Theorems of RADO

Published:2020-03-17 Issue:2 Volume:71 Page:599-618
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Bell Jason¹,Funk Daryl²,Du Kim Byoung³,Mayhew Dillon³

Affiliation:

1. Department of Pure Mathematics, University of Waterloo, Canada

2. School of Mathematics and Statistics, Victoria University of Wellington, New Zealand Current affiliation: Department of Mathematics, Douglas College, Canada

3. School of Mathematics and Statistics, Victoria University of Wellington, New Zealand

Abstract

Abstract Let $M$ be a representable matroid on $n$ elements. We give bounds, in terms of $n$, on the least positive characteristic and smallest field over which $M$ is representable.

Funder

Rutherford Discovery Fellowship

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/qjmath/article-pdf/71/2/599/33376343/haaa001.pdf

Reference8 articles.

1. Finite prime-field characteristic sets for planar configurations;Brylawski;Linear Algebra Appl.,1982

2. Sharp effective Nullstellensatz;Kollár;J. Amer. Math. Soc.,1988

3. Sharp estimates for the arithmetic Nullstellensatz;Krick;Duke Math. J.,2001

4. Note on independence functions. Proc. London;Rado;Math. Soc. (3),1957

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1. A Unified Discretization Approach to Compute–Forward: From Discrete to Continuous Inputs;IEEE Transactions on Information Theory;2023-01

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