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Oct 13, 2021 at 6:43 comment added Stefan Waldmann @BenjaminSteinberg Yes, of course. This will give a huge class of examples. I just wanted to indicate one particularly simple one.
Oct 12, 2021 at 21:30 comment added Benjamin Steinberg You can just take $X$ to be any topological space with I infinitely many homeomorphisms. planetmath.org/derivationsonaringofcontinuousfunctions
Oct 12, 2021 at 13:39 history answered Stefan Waldmann CC BY-SA 4.0