On multilinear polynomials in four variables evaluated on matrices |
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Authors: | David Buzinski Robin Winstanley |
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Institution: | 1. Case Western Reserve University, United States;2. University of Washington, United States |
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Abstract: | 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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Keywords: | 15A54 16S50 |
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