The ［0-Simple］ Simple Subsemigroups of Nonnegative Matrices

Abstract:

      In this paper, we investigate the properties of the ［0-simple］ simple su bsemigroups of nonnegative matrices and show that the ［0-simple］ simple subs emigroups of M_n(S) are completely ［0-simple］ simple, where S is a st rong ideal subset of R⁺ which has no elements less than 1 except 0. Finally, we illustrate that the semigroup of nonnegative matriles is interesting.