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- W2160705657 abstract "In this paper we characterize invertible matrices over an arbitrary commutative antiring S 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 $n times n$ matrix over an entire antiring can be written as a sum of $lceil log_2 n rceil$ 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." @default.
- W2160705657 created "2016-06-24" @default.
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- W2160705657 date "2008-06-18" @default.
- W2160705657 modified "2023-09-27" @default.
- W2160705657 title "Invertible and nilpotent matrices over antirings" @default.
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