# simple ring

A nonzero ring $R$ is said to be a if it has no (two-sided) ideal other then the zero ideal and $R$ itself.

This is equivalent to saying that the zero ideal is a maximal ideal.

If $R$ is a commutative ring with unit, then this is equivalent to being a field.

Title simple ring SimpleRing 2013-03-22 11:51:07 2013-03-22 11:51:07 antizeus (11) antizeus (11) 9 antizeus (11) Definition msc 16D60