Non Commutative Algebraic Geometry I: Monomial Equations with a Single Variable
Rings and Algebras
2024-08-14 v1 Group Theory
Logic
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.
Cite
@article{arxiv.1906.02049,
title = {Non Commutative Algebraic Geometry I: Monomial Equations with a Single Variable},
author = {Zlil Sela},
journal= {arXiv preprint arXiv:1906.02049},
year = {2024}
}