# nLab sedenion

Contents

### Context

#### Algebra

higher algebra

universal algebra

# Contents

## Idea

The sedenions are the non-associative algebra $\mathbb{S}$ over the real numbers obtained by applying the Cayley–Dickson construction to the octonions.

## Properties

Although every sedenion has a multiplicative inverse, $\mathbb{S}$ is not a division algebra (which is possible since it is not associative).

## References

Wikipedia, Sedenion

Last revised on September 5, 2016 at 06:15:52. See the history of this page for a list of all contributions to it.