The free $\mathbb Q$ algebra on two generators: $\mathbb Q\langle x, y\rangle$
Keywords free algebra
| Name | Measure | |
|---|---|---|
| global dimension | left: 1 | right: 1 |
| 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 | $\{0\}$ |