Primes in the semigroup of non-negative matrices
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 2 (2) , 135-140
- https://doi.org/10.1080/03081087408817050
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.Keywords
This publication has 1 reference indexed in Scilit:
- Regular nonnegative matricesProceedings of the American Mathematical Society, 1973