The study of the left and right inverse of elements in S_n
Zhou Shao-yan, Ronghua Zhang · Journal of Yunnan Normal University · 2004
In the regular elements of semigroup φ_n of substochastic matrices have been studied. This paper investigates the left and right inverse of elements in S_n of stochastic matrices. Firstly we give necessary and sufficient conditions that element in S_n has right inverse or left inverse and that element in S_n has unique right inverse. Finally we give a semigroup T that S_n is its subsemigroup and which regular and idempotent elements are in S_n.