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arXiv 2015-11-19 DOI 10.1016/j.laa.2013.08.005 0 views

On Multilinear Polynomials In Four Variables Evaluated On Matrices

Buzinski, David · Winstanley, Robin

Original · EN

Let K be an algebraically closed field of characteristic 0 and let Mₙ(K), n ≥ 3, be the matrix ring over K. We will show that the image of any multilinear polynomial in four variables evaluated on Mₙ(K) contains all matrices of trace 0.

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