Let $V$ be a $\mathbb Q$ vector space of countably infinite dimension. The required ring $R$ is the Grassmann algebra $\bigwedge (V)$. This can be described also as a quotient $\mathbb Q\langle\{e_i\mid i\in \mathbb N\}\rangle/(\{e_ie_j+e_je_i\mid i\in\mathbb N\})$
Keywords Grassman algebra free algebra quotient ring
(Nothing was retrieved.)
| Name | Description |
|---|---|
| Idempotents | $\{0,1\}$ |