With duals for objects
With duals for morphisms
Special sorts of products
In higher category theory
A pivotal category is an autonomous category equipped with a monoidal natural isomorphism . Pivotal categories have also been called “sovereign categories.” This is a kind of category with duals.
A right autonomous category with such an isomorphism is automatically left autonomous too, so the right/left distinction does not apply to pivotal categories.
Revised on May 27, 2011 11:20:35
by Urs Schreiber