An integral domain is a ring that is commutative under multiplication, has a multiplicative
identity 
,
and has no zero divisors.
The integers form an integral domain.
Integral Domain
See also
Field, Ideal, Prime Ideal, Ring, Ring CharacteristicExplore with Wolfram|Alpha
References
Anderson, D. D. (Ed.). Factorization in Integral Domains. New York: Dekker, 1997.Referenced on Wolfram|Alpha
Integral DomainCite this as:
Weisstein, Eric W. "Integral Domain." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/IntegralDomain.html