
Accession Number : AD0774246
Title : Primes in the Semigroup of NonNegative Matrices.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Richman,Daniel J. ; Schneider,Hans
Report Date : JAN 1974
Pagination or Media Count : 14
Abstract : A matrix A in the semigroup (N sub n) of nonnegative n x n matrices in a prime if A is not monomial and A = BC, b, C belongs to (N sub n) implies that either B or C is monomial. One necessary and another sufficient condition are given for a matrix in (N sub n) to be prime. It is proved that every prime in (N sub n) is completely decomposable. (Author)
Descriptors : *MATRICES(MATHEMATICS), PRIME NUMBERS, PERMUTATIONS, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE