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.
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 .
出处
《山东科学》
CAS
2010年第4期1-4,共4页
Shandong Science
基金
国家自然科学基金项目(10571005)
关键词
矩阵半群
正则半群
无限阶矩阵
格林关系
matrix semigroup
regular semigroup
infinite matrix
Green＇ s relations
