nLab
differential ideal

Contents

Contents

Definition

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

Properties

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

References

See also

Last revised on September 30, 2019 at 15:07:27. See the history of this page for a list of all contributions to it.