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 | $\{0\}$ |