Let $R$ be an rng.
Let $I,J$ be ideals of $R$.
What is an example of $IJ\neq JI$?
2026-04-01 09:48:13.1775036893
What is an example of ideals such that $IJ\neq JI$?
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Consider the free algebra $k\langle x,y\rangle $. The ideals $I=(x)$ and $J=(y)$ are such that $IJ\neq JI$.