Ring $R_{ 159 }$

Grassmann algebra $\bigwedge (V)$, $\dim(V)=\aleph_0$


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


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  • Legend
    • = has the property
    • = does not have the property
    • = information not in database

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