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

Known Properties

Legend

- = has the property
- = does not have the property
- = information not in database

(Nothing was retrieved.)

Name | Description |
---|---|

Idempotents | $\{0,1\}$ |

Left singular ideal | $\{0\}$ |

Nilpotents | $\{0\}$ |

Right singular ideal | $\{0\}$ |