Simple Inverse Semigroups of Matrix
Yongwen Zhu · Journal of Jilin University(Science Edition) · 2010
The authors proved that a simple inverse semigroup of a matrix is actually a group of a matrix by the method of matrix diagonalization;a 0-simple inverse semigroup of a matrix is actually a 0-group when the zero is a prime element;and a semigroup of matrix is a completely 0-simple inverse semigroup if and only if it is isomorphic to the brandt semigroup Bn which the trivial group corresponds to by characterizing complete 0-simple inverse semigroups of matrix via Rees construction.