In this paper,we give some properties of regular commutative ordered semigroups relative to its prime ideal structure and give also some relations among the noetherianity,archimedeanity,regularity and the finitely generated property in the class of commutative ordered semigroups which are unions of a finite number of principal ideals.
给出了正则交换序半群的与素理想结构有关的若干性质。
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。