偏序群的Dω－序扩展

来源期刊：中南大学学报(自然科学版)1995年第6期

论文作者：王坚强

文章页码：809 - 811

关键词：有向子集; Dω－序; 扩展

Key words：direct subset; Dω-order; extension

摘    要：讨论了偏序群的Dω－序扩展,得到了偏序群的偏序可扩展成为Dω－序的充要条件,以及每一偏序均可扩展成为Dω－序的条件,同时刻划了Dω－序群。

Abstract: In this paper,we discuss the extension of the Dω-order and D*ω-order in partiany or-dered group,obtain the necessary and sufficient condition for an extension of the partial-or-der in partially ordered group to Dω-order and D*ω-order, and the condition for the exten-sion of every partial order in a group to Dω-order. In addition,we charaterize the Dω-ordergroup and D*ω-order group.