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 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