Abstract

The present article is devoted to introduce the notion of Hopf bracoid in the braided monoidal framework as the quantum version of skew bracoids, which have been presented by Martin-Lyons and Truman. Taking into account that Hopf braces are particular examples of Hopf bracoids, in this paper we generalize many properties of Hopf braces to the Hopf bracoid setting, we study the relationships between Hopf bracoids and skew bracoids and, finally, we obtain a categorical isomorphism between certain full subcategories of the Hopf bracoids category and the 1-cocycles category.

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