The concept of a bimodule category is a categorification of that of bimodule. Where a bimodule is an abelian group acted on by two rings, so a bimodule category is a suitable category suitably acted on by two monoidal categories, hence a 2-sided module category.
For instance
Created on October 24, 2014 at 08:49:52. See the history of this page for a list of all contributions to it.