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The groupoid realization conjecture for universal partial group coalgebroids
Groupoid realization conjecture. The universal Hopf coalgebroid $kG^{par}$ is exactly the Hopf coalgebroid associated to the groupoid $\Gamma(G)$ .
Conjectureopencoalgebroids groupoids hopf-algebrasarXiv posted 2 days ago

The groupoid realization conjecture for universal partial group coalgebroids