On disjunction of equations in completely regular semigroups
Algebraic Geometry
2013-06-20 v1 Group Theory
Abstract
A semigroup is called an equational domain if any finite union of algebraic sets over is algebraic. We prove if a completely regular semigroup is an equational domain then is completely simple.
Keywords
Cite
@article{arxiv.1306.4547,
title = {On disjunction of equations in completely regular semigroups},
author = {Artem N. Shevlyakov},
journal= {arXiv preprint arXiv:1306.4547},
year = {2013}
}