show · ring.ideal all knowls · up · search:

If $R$ is a ring, a subset $I\subseteq R$ is an ideal of $R$ if $I$ is a subgroup of $R$ for $+$ and for all $a\in I$ and all $r\in R$, $$ r\cdot a\in I \qquad\text{and}\qquad a\cdot r\in I.$$

Knowl status:
  • Review status: reviewed
  • Last edited by John Jones on 2018-08-06 03:58:39
Referred to by:
History: (expand/hide all)