action of a monoidal category
Zoran Škoda
With braiding
With duals for objects
category with duals (list of them)
dualizable object (what they have)
ribbon category, a.k.a. tortile category
With duals for morphisms
With traces
Closed structure
Special sorts of products
Semisimplicity
Morphisms
Internal monoids
Examples
Theorems
In higher category theory
In vertical categorification of how monoids/monoid objects may act on other objects (action objects, module objects) inside an ambient monoidal category by maps
satisfying the action...