# On disjunction of equations in completely regular semigroups

@article{Shevlyakov2013OnDO, title={On disjunction of equations in completely regular semigroups}, author={A. Shevlyakov}, journal={arXiv: Algebraic Geometry}, year={2013} }

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.

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