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Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.

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Free algebras from model theory perspective

Let $\mathbb{V}$ be a non-trivial variety of algebras, and let $F_S\in\mathbb{V}$ be a free algebra on a set $S$. I want to know what is known about the model theory of $F_S$; I know these objects are …
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