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:
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arXiv e-prints
- Pub Date:
- June 2013
- DOI:
- 10.48550/arXiv.1306.4547
- arXiv:
- arXiv:1306.4547
- Bibcode:
- 2013arXiv1306.4547S
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Group Theory