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arXiv · 2606.29260

Digroups, their canonical pretorsion theory, and diheaps

Alberto Facchini·Carmelo Antonio Finocchiaro
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Abstract

In the category of digroups there is a natural pretorsion theory in which the torsion-free digroups are all groups, and torsion digroups form a category isomorphic to the category of non-empty sets. It is also possible to extend the theory of heaps from groups to digroups. The corresponding notion is that of a diheap.

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Alberto Facchini, Carmelo Antonio Finocchiaro. 2026-06-28. Digroups, their canonical pretorsion theory, and diheaps. https://arxiv.org/abs/2606.29260

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