nLab
distributivity for monoidal structures

Contents

Context

Monoidal categories

monoidal categories

With symmetry

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

Distributivity for monoidal structures

There are many variations on what it means for one monoidal structure on a category to distribute over another. Here we collect a list of them and remark on their relationships. Note that our terminology is by no means universal.

The following notions of distributivity exist in a linear hierarchy of less to more general.

There are also the following related notions which are not comparable in generality.

Last revised on March 25, 2015 at 10:33:18. See the history of this page for a list of all contributions to it.