Green's Relations of Regular Matrix Semigroups
Yongwen Zhu · Shandong kexue · 2010
We express the Green's relations of a regular matrix semigroup with the relation between a full matrix semigroup and its regular subsemigroup.We further generalize our results from semigroups of finite matrices to semigroups of infinite matrices,and present some necessary and sufficient conditions of Green's relations of the regular semigroups of countable infinite matrices.