The polynomial ring in $n$ variables, $n>1$ over the rational numbers
Keywords polynomial ring
| Name | Measure | |
|---|---|---|
| cardinality | $\aleph_0$ | |
| composition length | left: $\infty$ | right: $\infty$ | 
| Krull dimension (classical) | $n$ | 
| Name | Description | 
|---|---|
| Idempotents | $\{0,1\}$ | 
| Jacobson radical | $\{0\}$ | 
| Left singular ideal | $\{0\}$ | 
| Left socle | $\{0\}$ | 
| Nilpotents | $\{0\}$ | 
| Right singular ideal | $\{0\}$ | 
| Right socle | $\{0\}$ | 
| Zero divisors | $\{0\}$ |