Definition:Integral Domain

Also known as
Some authors refer to this concept as simply a domain.

However, this conflicts with the concept of domain in set theory, in the context of mappings and [Definition:Relation Theory|relations]].

Therefore, it is always best to refer to an integral domain, as to avoid possible confusion.

Also defined as
Some authors do not require that an integral domain be commutative.

Also see

 * Equivalence of Definitions of Integral Domain