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On semigroups and semirings of nonnegative matrices
Journal article   Peer reviewed

On semigroups and semirings of nonnegative matrices

Adel N. Alahmadi, Yousef Alkhamees and S. K. Jain
Linear & multilinear algebra, Vol.60(5), pp.595-598
05/2012
DOI: https://doi.org/10.1080/03081087.2011.616890

Abstract

Mathematics Physical Sciences Science & Technology
We characterize a finite cyclic semigroup of nonnegative matrices by generalizing a result known for the special case in which the semigroup is a group. We also characterize semirings S of nonnegative matrices A with diag A >= I whose multiplicative semigroup S - {0} is cyclic.

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