Let $k$ be a field and $R$ be the exterior ring over $k^d $, that is, $k$-algebra generated by elements $$x_1,\ldots,x_d,$$ where $$\ x_ix_j= - x_jx_i?$$
Is $R$ Artinian?
Let $k$ be a field and $R$ be the exterior ring over $k^d $, that is, $k$-algebra generated by elements $$x_1,\ldots,x_d,$$ where $$\ x_ix_j= - x_jx_i?$$
Is $R$ Artinian?