On disjunction of equations in the semigroup language with no constants
Algebraic Geometry
2013-06-20 v1 Group Theory
Abstract
A semigroup is an equational domain if any finite union of algebraic sets over is algebraic. We prove that every nontrivial semigroup in the standard language is not an equational domain.
Keywords
Cite
@article{arxiv.1306.4543,
title = {On disjunction of equations in the semigroup language with no constants},
author = {Artem N. Shevlyakov},
journal= {arXiv preprint arXiv:1306.4543},
year = {2013}
}