# nLab differential ideal

Contents

### Context

#### Algebra

higher algebra

universal algebra

# Contents

## Definition

For $(A,d)$ a differential algebra, a differential ideal is an ideal $I \subset A$ in the underlying associative algebra $A$ which is preserved by the derivation $d$, in that $d(I) \subset I$.

## Properties

The quotient algebra of a differential algebra by a differential ideal inherits the structure of a differential algebra.