Marino Gran: The new calculus of star-relations

A new method has been recently developed to unify both pointed and non-pointed categorical algebra. The main tool is the notion of star-relation, which is a common generalisation of the notion of kernel (in the pointed context) and of kernel pair (in the non-pointed context). In this talk we shall focus on some results we have established in any category with a good theory of ideals, a context extending both the notion of ideal determined category (in the pointed context) and the one of exact Goursat category (in the non-pointed context).
This work is in collaboration with Z. Janelidze, D. Rodelo and A. Ursini.