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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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