# dense ideal

Given a commutative ring $R$, an ideal/subset $I\subset R$ is said to be iff its annihilator is $\{0\}$, in other words

 $\mathrm{Ann}(I)=\{0\}$

We can similarly define and in the case of noncommutative rings.

Title dense ideal DenseIdeal 2013-03-22 16:21:23 2013-03-22 16:21:23 jocaps (12118) jocaps (12118) 13 jocaps (12118) Definition msc 16D25 dense subset of a ring dense subset right dense left dense