# Primes in the semigroup of non-negative matrices

@inproceedings{Richman1974PrimesIT, title={Primes in the semigroup of non-negative matrices}, author={Daniel J. Richman and Hans Schneider}, year={1974} }

- Published 1974
DOI:10.1080/03081087408817050

A matrix A in the semigroup N n of non-negative n×nmatrices is prime if A is not monomial and A=BC,B CeN n implies that either B or C is monomial. One necessary and another sufficient condition are given for a matrix in N n to be prime. It is proved that every prime in N n is completely decomposable.

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## Regular nonnegative matrices

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