A Variety Theorem for Relational Universal Algebra

@article{Nester2021AVT,
  title={A Variety Theorem for Relational Universal Algebra},
  author={Chad Nester},
  journal={ArXiv},
  year={2021},
  volume={abs/2105.04958}
}
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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