几类亚交换序半群(英文)

Some Classes of Meta Commutative Po-Semigroups

英文关键词:po-semigroups  filters  semilattice cougruence  poe-semigroups  Archime- dean semigroups  weakly commutativity  pseudo-commutativity  cyclic-commutativity.

中文摘要:

      本文研究几类亚交换序半群的性质，并将具有单位元的亚交换序半群的一些结果扩张到这几类亚交换序半群上，使得这些结果更加细化，其中主要证明了以下定理：伪交换序半群可以分解成阿基米德序半群的半格．并且，一般来说，这种分解不是唯一的．

英文摘要:

      Results of weakly commutative poe-semigroups are extended to Pseudo commutative po-semigroups. We prove that pseudo-commutative semigroups can bedecomposed into semilattices of Archimedean po-semigroups and such decomposition isnot unique.