cancellation ring

A ring $R$ is a cancellation ring if for all $a,b\in R$, if $a\cdot b=0$ then either $a=0$ or $b=0$.

Title	cancellation ring
Canonical name	CancellationRing
Date of creation	2013-03-22 11:51:22
Last modified on	2013-03-22 11:51:22
Owner	djao (24)
Last modified by	djao (24)
Numerical id	8
Author	djao (24)
Entry type	Definition
Classification	msc 13-00
Related topic	IntegralDomain
Related topic	ZeroDivisor