# Category:Integral Domains

This category contains results about Integral Domains.
Definitions specific to this category can be found in Definitions/Integral Domains.

An integral domain $\struct {D, +, \circ}$ is:

a commutative ring which is non-null
with a unity
in which there are no (proper) zero divisors, that is:
$\forall x, y \in D: x \circ y = 0_D \implies x = 0_D \text{ or } y = 0_D$

that is, in which all non-zero elements are cancellable.

## Subcategories

This category has the following 18 subcategories, out of 18 total.