The quotient polynomial ring $\mathbb Q[x^{1/2},x^{1/4},x^{1/8},...]/(x)$
Notes: Local with an idempotent, nil maximal ideal.
Keywords polynomial ring quotient ring
| Name | Measure | |
|---|---|---|
| cardinality | $\aleph_0$ | |
| composition length | left: $\infty$ | right: $\infty$ |
| Krull dimension (classical) | 0 |
| Name | Description |
|---|---|
| Idempotents | $\{0,1\}$ |
| Left socle | $\{0\}$ |
| Right socle | $\{0\}$ |