【摘要】 利用全矩阵半群与其正则子半群的关系,刻画一般的正则矩阵半群中的格林关系,并进一步将所得结果从有限阶矩阵半群推广到无限阶矩阵半群,给出可数无限阶矩阵半群上格林关系的一些充分必要条件.更多还原

【Abstract】 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.更多还原