Limits and colimits of partial acts and partial modules

In this talk we will study limits and colimits in categories of partial acts (PAct_S) and partial modules (PMod_R). We will give constructions for products, equalizers and pullbacks in both of these categories. For colimits in the category PAct_S we will show how to construct quotient partial acts. In the category PMod_R we will show cocompleteness with the help of the adjoint functor theorem.