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For questions requesting examples of a certain structure or phenomenon

8 votes
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Tensor products and two-sided faithful flatness

Here's an example. Let $R = {\mathbb C}[x]$ and let $S = {\mathbb C}\langle x,y\rangle/(xy-yx-1)$, i.e. the first Weyl algebra $A_1$. Then $S$ is free as both a left and right $R$-module, and comes …
Thomas Nevins's user avatar