Homotopy Type Theory Z-algebra > history (Rev #7)

Definition

A $\mathbb{Z}$-algebra is a $\mathbb{Z}$-module $A$ with a bilinear function $(-)\cdot(-): A \times A \to A$

Examples

• Every contractible type is a $\mathbb{Z}$-algebra.

• The integers are a $\mathbb{Z}$-algebra.

• The rational numbers are a $\mathbb{Z}$-algebra.

See also

• abelian group

• characteristic

• unital Z-algebra

• cancellation Z-algebra

• division Z-algebra

• algebra (ring theory)