In this paper, we characterize invertible matrices over an arbitrary commutative antiring S with I and find the structure of GL(n)(S). We find the number of nilpotent matrices over an entire commutative finite antiring. We prove that every nilpotent n x n matrix over an entire antiring can be written as a sum of [log(2)(n)] square-zero matrices and also find the necessary number of square-zero summands for an arbitrary trace-zero matrix to be expressible as their sum. (C) 2008 Elsevier Inc. All rights reserved.
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