Assertion: ring's ideal | /r/CapableOf | call left ideal
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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.