In this paper,we completely obtain the structures and classifications of the maximal regular subsemigroups, the maximal orthodox subsemigroups and the maximal inverse subsemi-groups of the regular linear transformation semigroups R(lT_n).
本文完全得到了正则线性变换半群R(lT_n)的极大正则子半群,极大纯正子半群,以及极大逆子半群的结构与分类,同时也确定了它的奇异正则线性变换半群Sl_n的极大正则子半群,极大纯正子半群的结构与分类。