# Domain (in ring theory)

From Encyclopedia of Mathematics

An (associative-commutative) ring in which the product of two non-zero elements is again non-zero. See also Associative rings and algebras; Commutative ring.

**How to Cite This Entry:**

Domain (in ring theory). M. Hazewinkel (originator),

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Domain_(in_ring_theory)&oldid=12097

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098