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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?

  • 2
    Hint: is $R$ finite-dimensional over $k$?2011-02-28
  • 0
    could you please explain more?2011-02-28

2 Answers 2