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differential algebra

Idea

A differential algebra is an associative algebra $A$ equipped with a derivation $d \colon A \to A$, typically required to satisfy $d \circ d = 0$.

If $A$ is a field one accordingly speaks of a differential field.

If $A$ is a graded algebra and $d$ is of degree 1 one speaks of a differential graded algebra.

Etc.

Related concepts

• differential ideal

• differential graded algebra

• differential graded-commutative algebra

References

• differential Galois theory