Assertion: ring's ideal | /r/HasProperty | an additive subgroup of r.
Facets:
Source sentences:
text: A one-sided or two-sided ideal is then an additive subgroup of R. If E is a subset of R, then R E {\displaystyle RE} is a left ideal, called the left ideal generated by E; it is the smallest left ideal containing E. Similarly, one can consider the right ideal or the two-sided ideal generated by a subset of R.