# nLab symmetric monoidal 2-category

### Context

#### Higher category theory

higher category theory

## 1-categorical presentations

#### Higher algebra

higher algebra

universal algebra

# Contents

## Definition

A symmetric monoidal 2-category is a monoidal 2-category whose E1-algebra structure is refined to an E3-algebra structure.

A symmetric monoidal (infinity,n)-category for $n = 2$.

## Examples

• A symmetric monoidal 2-category all whose objects are invertible under the tensor product is a symmetric 3-group.

## References

Revised on January 17, 2013 02:20:07 by Urs Schreiber (203.116.137.162)