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arXiv · 1306.4543

On disjunction of equations in the semigroup language with no constants

Artem N. Shevlyakov
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Abstract

A semigroup $S$ is an equational domain if any finite union of algebraic sets over $S$ is algebraic. We prove that every nontrivial semigroup in the standard language $\{\cdot\}$ is not an equational domain.

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Artem N. Shevlyakov. 2013-06-19. On disjunction of equations in the semigroup language with no constants. https://arxiv.org/abs/1306.4543

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