D-inverse constellations

Victoria Gould; Tim Stokes

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arXiv · 2403.17282

D-inverse constellations

Victoria Gould·Tim Stokes

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Abstract

We give an algebraic characterisation of ordered groupoids, namely, we show that there is a categorical isomophism between the category of ordered groupoids and the category of $D$-inverse constellations. Here constellations are partial algebras in the sense that they possess a partial product, and a unary operation $D$. We consider constellations in which elements have a suitable notion of inverse, giving the notion of a D-inverse constellation.

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Victoria Gould, Tim Stokes. 2024-03-26. D-inverse constellations. https://arxiv.org/abs/2403.17282

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