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arXiv · 2310.13175

Decidability of distributive l-pregroups

Nikolaos Galatos·Isis A. Gallardo
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Abstract

We show that every distributive lattice-ordered pregroup can be embedded into a functional algebra over an integral chain, thus improving the existing Cayley/Holland-style embedding theorem. We use this to show that the variety of all distributive lattice-ordered pregroups is generated by the single functional algebra on the integers. Finally, we show that the equational theory of the variety is decidable.

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Nikolaos Galatos, Isis A. Gallardo. 2023-10-19. Decidability of distributive l-pregroups. https://arxiv.org/abs/2310.13175

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