Primes in the semigroup of non-negative matrices |
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| Authors: | Daniel J Richman Hans Scheuder |
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| Institution: | Department of Algebra, combinatorics, and Analysis , Auburn University , Auburn, AL, 36849 |
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| Abstract: | A matrix A in the semigroup N n of non-negative n×nmatrices is prime if A is not monomial and A=BC,B CεN 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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