关于弱交换po－半群

On Weakly Commutative po-Semigroups

英文关键词:po-semigroups  poe-semigroups  weakly commutative po-semigourps  archimedcan subsemigroups

中文摘要:

      在本文中我们引入弱交换ｐｏ－半群的概念，并研究这类半群到其Ａｒｃｈｉｍｅｄｅｓ子半群的半格分解，给出了这类半群类似于无序半群相应结果的一个刻画。作为推论，我们得到弱交换ｐｏｅ－群和无序半群的相应刻画。

英文摘要:

      We introduce the concept of weakly commutative po-semigroups. We studythe semilattice decompositions of this type of semigroups into their archimedean sub-semigroups and we give a characterization of such semigroups analogous to the corre-sponding result on semigroups without order.As a consequence,the characterization of po-semigroups and the corresponding characterization on semigroups without order canbe obtained.