Let $I$ be a left ideal of $R$. Assume that there exist element in $I$, which is not a zero divisor. How to prove that for every (left) injective $R$-module $Q$ we have $IQ=Q$ ?
I need only hints.
2026-03-27 00:01:27.1774569687
Ideals and injective modules
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Assume $a \in IQ$ and $a \not\in Q$ and then work from the element in I which is not a zero divisor.