Let $D(\mathbb R) $ be the set of all differentiable functions $f: \mathbb R \to \mathbb R$. Then obviously $D(\mathbb R)$ forms a semigroup under usual function composition. Can we characterize (upto semigroup isomorphism) all finite subsemigroups of $D(\mathbb R)$ which does not contain any constant function ?
2026-02-23 01:05:33.1771808733
Semigroup of differentiable functions on real line
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