The ring of germs of smooth functions ($C^\infty$ functions) $\mathbb R\to \mathbb R$ at the point $0$.
Notes: Maximal ideal is idempotent
Keywords germs of functions ring of functions
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Name | Description |
---|---|
Idempotents | $\{0,1\}$ |
Left singular ideal | $\{0\}$ |
Nilpotents | $\{0\}$ |
Right singular ideal | $\{0\}$ |