nLab bimodule category

Contents

Context

Higher algebra

Monoidal categories

monoidal categories

With braiding

With duals for objects

With duals for morphisms

With traces

Closed structure

Special sorts of products

Semisimplicity

Morphisms

Internal monoids

Examples

Theorems

In higher category theory

Contents

Idea

The concept of a bimodule category is a categorification of that of bimodule, hence the two-sided version of the notion of a module category.

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.

References

Last revised on July 10, 2025 at 08:45:34. See the history of this page for a list of all contributions to it.