On disjunction of equations in completely regular semigroups
Abstract
A semigroup $S$ is called an equational domain if any finite union of algebraic sets over $S$ is algebraic. We prove if a completely regular semigroup $S$ is an equational domain then $S$ is completely simple.
 Publication:

arXiv eprints
 Pub Date:
 June 2013
 arXiv:
 arXiv:1306.4547
 Bibcode:
 2013arXiv1306.4547S
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Group Theory