Quiver skew braces lack the group-of-loops-plus-vertices decomposition that connected groupoids possess, and the paper equips them with ideals and two semidirect products.
Categories as algebra: an essential ingredient in the theory of monoids
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On quiver skew braces, their ideals and products
Quiver skew braces lack the group-of-loops-plus-vertices decomposition that connected groupoids possess, and the paper equips them with ideals and two semidirect products.