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Algebraic matroid

In mathematics, an algebraic matroid is a matroid, a combinatorial structure, which expresses an abstraction of the relation of algebraic… Expand
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2020
2020
Abstract In recent years, various notions of algebraic independence have emerged as a central and unifying theme in a number of… Expand
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2018
2018
A finite unit norm tight frame is a collection of $r$ vectors in $\mathbb{R}^n$ that generalizes the notion of orthonormal bases… Expand
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2018
2018
Abstract Recently, Bollen, Draisma, and Pendavingh have introduced the Lindstrom valuation on the algebraic matroid of a field… Expand
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2017
2017
Abstract To each prime ideal in a polynomial ring over a field we associate an algebraic matroid and show that it is preserved… Expand
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2014
2014
An affine variety induces the structure of an algebraic matroid on the set of coordinates of the ambient space. The matroid has… Expand
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2014
2014
This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite and infinite matroids whose… Expand
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2006
2006
Gordon introduced a class of matroids M(n), for prime n ≥ 2, such that M(n) is algebraically representable, but only in… Expand
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1987
1987
It was proved implicitly by Ingleton and Main and explicitly by Lindström that if three lines in the algebraic matroid consisting… Expand
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1986
1986
Abstract The algebraic characteristic set X alg (M) of a matroid M is the set of characteristics of all fields F over which M has… Expand
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1985
1985
On considere une classe de matroides Mp (p premier) dont les representations vectorielles sont determinees par T. Lazarson. On… Expand
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