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

Symmetric properties

Asymmetric properties

Legend

- = has the property
- = does not have the property
- = information not in database

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Name | Description |
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Idempotents | $\{0,1\}$ |