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On the codimension of subalgebras of the algebra of matrices over a field

Published 4 Aug 2015 in math.RA | (1508.02929v2)

Abstract: In this paper we provide an elementary and easy proof that a proper subalgebra of the matrix algebra $ \mathbb{K}{n,n }$, with $n \geq3$ and $\mathbb{K}$ an arbitrary field, has dimension strictly less than $n2-1$.

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Authors (1)

  1. Giuseppe Zito 

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