摘要
给出了正则交换序半群的与素理想结构有关的若干性质.还给出了为有限个主理想的并的交换序半群类中的诺特性,阿基米德性,正则性以及有限生成性之间的一些关系.
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.
出处
《数学研究》
CSCD
2007年第2期139-142,共4页
Journal of Mathematical Study
关键词
主理想
阿基米德交换序半群
正则交换序半群
principal ideal
archimedean commutative ordered semigroup
regular commutative ordered semigroup
