Abstract
S. A. Katre and Anuradha Garge obtained necessary and sufficient trace conditions for matrices over commutative rings with unity to be sums of kth powers. In this paper, we show that these conditions hold for matrices over noncommutative rings too. For , we deduce Vaserstein's result for sums of squares of matrices and also obtain nice trace conditions for matrices to be sums of cubes. For an integer , we get a sufficient condition for an matrix over a noncommutative ring to be a sum of kth powers.
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