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arXiv · 1906.02049

Non Commutative Algebraic Geometry I: Monomial Equations with a Single Variable

Zlil Sela
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Abstract

This paper is the first in a sequence on the structure of sets of solutions to systems of equations over a free associative algebra. We start by constructing a Makanin-Razborov diagram that encodes all the homogeneous solutions to a homogeneous system of equations. Then we analyze the set of solutions to monomial systems of equations with a single variable.

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Zlil Sela. 2019-06-05. Non Commutative Algebraic Geometry I: Monomial Equations with a Single Variable. https://doi.org/10.2140/mt.2024.3.733

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