nLab differential ring

Idea

A differential ring is an $\mathbb{Z}$-differential algebra.

Definition

A differential ring is a ring $R$ with an abelian group homomorphism $d:R \to R$ such that $d(a \cdot b) = a \cdot d(b) + d(a) \cdot b$.

See also

• ring

• tensor ring

• symmetric ring

• exterior ring

• Clifford ring

• graded ring

• super ring

• supercommutative ring

• differential ring groupoid

• differential algebra