Partial monoid actions on objects in categories with pullbacks and their globalizations

Mykola Khrypchenko, Francisco Klock

Let $M$ be a monoid, $\mathcal{C}$ a category with pullbacks and $X$ an object of $\mathcal{C}$. We introduce the notion of a partial action $\hat{I}\pm$ of $M$ on $X$ and study the global…