Homotopy Type Theory discrete integral domain > history (Rev #2)

Definition

A discrete integral domain is a commutative discrete cancellation ring $(A, +, -, 0, \cdot, 1)$ with a term $p: (0 = 1) \to \emptyset$.

Examples

• The integers are a discrete integral domain.

• The rational numbers are a discrete integral domain

• Every discrete field is a discrete integral domain.

See also

• ring

• integral domain