序半群中的最小完全半素序理想  

The least completely semiprime ordered ideals in po semigroups

作　　者：周含策[1] 盛德成[1] 

机构地区：[1]西北大学数学系

出　　处：《纯粹数学与应用数学》1999年第2期47-50,共4页Pure and Applied Mathematics

摘　　要：在序半群上定义了几种新的关系，利用它们得到序半群上最小完全半素理想的结构，并以此给出了序半群的最小正则半格同余的另一种描述．In this paper we define several new relations in ordered semigroups, use them to obtain the structure of the least completely semiprime ordered ideals, and prensent a new description of the least regular semilattice congruence on a po semigroup. The results are extension of some of M.Ciric to po semigroups.

关 键 词：序半群 完全半素理想 最小完全半素理想 半格分解 最小正则半格同余 

分 类 号：O152.7[理学—数学]