Domain (ring theory)
Unital ring with no zero divisors other than 0; noncommutative generalization of integral domains / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Domain (ring theory)?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
In algebra, a domain is a nonzero ring in which ab = 0 implies a = 0 or b = 0.[1] (Sometimes such a ring is said to "have the zero-product property".) Equivalently, a domain is a ring in which 0 is the only left zero divisor (or equivalently, the only right zero divisor). A commutative domain is called an integral domain.[1][2] Mathematical literature contains multiple variants of the definition of "domain".[3]