On equations over direct powers of algebraic structures
Algebraic Geometry
2020-08-10 v1 Rings and Algebras
Abstract
We study systems of equations over graphs, posets and matroids. We give the criteria, when a direct power of such algebraic structures is equationally Noetherian. Moreover we prove that any direct power of a finite algebraic structure is weakly equationally Noetherian.
Keywords
Cite
@article{arxiv.2008.03296,
title = {On equations over direct powers of algebraic structures},
author = {A. Shevlyakov},
journal= {arXiv preprint arXiv:2008.03296},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2008.02309