For a countably infinite field $k$, the quotient ring $k[x,y,z]/(xz,yz)$.
Keywords polynomial ring quotient ring
| Name | Measure | |
|---|---|---|
| cardinality | $\aleph_0$ |
| Name | Description |
|---|---|
| Idempotents | $\{0,1\}$ |
| Jacobson radical | $\{0\}$ |
| Left singular ideal | $\{0\}$ |
| Left socle | $\{0\}$ |
| Nilpotents | $\{0\}$ |
| Right singular ideal | $\{0\}$ |
| Right socle | $\{0\}$ |