The ring of germs (at the origin) of holomorphic functions on $\mathbb C^n$, where $n>1$. This can also be described as the subring of the power series ring in $n$ variables over $\mathbb C$ whose members have positive radius of convergence at the origin.
Keywords germs of functions power series ring ring of functions subring
| Name | Measure | |
|---|---|---|
| Krull dimension (classical) | $n$ |
| Name | Description |
|---|---|
| Idempotents | $\{0,1\}$ |
| Left singular ideal | $\{0\}$ |
| Left socle | $\{0\}$ |
| Nilpotents | $\{0\}$ |
| Right singular ideal | $\{0\}$ |
| Right socle | $\{0\}$ |
| Zero divisors | $\{0\}$ |