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arXiv · 2105.04958

A Variety Theorem for Relational Universal Algebra

Chad Nester
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Abstract

We develop an analogue of universal algebra in which generating symbols are interpreted as relations. We prove a variety theorem for these relational algebraic theories, in which we find that their categories of models are precisely the definable categories. The syntax of our relational algebraic theories is string-diagrammatic, and can be seen as an extension of the usual term syntax for algebraic theories.

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Chad Nester. 2021-05-11. A Variety Theorem for Relational Universal Algebra. https://doi.org/10.1007/978-3-030-88701-8_22

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