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 monomial system of equations. Then we analyze the set of solutions to monomial systems of equations with a single variable.
| Original language | English |
|---|---|
| Pages (from-to) | 733-800 |
| Number of pages | 68 |
| Journal | Model Theory |
| Volume | 3 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2024 |
Bibliographical note
Publisher Copyright:© 2024 MSP (Mathematical Sciences Publishers).
Keywords
- Makanin–Razborov diagram
- associative algebra
- systems of equations
- varieties