Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (34): 15-16.DOI: 10.3778/j.issn.1002-8331.2010.34.005

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Identical relation on ordered semigroup

HAN Sheng-wei   

  1. College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:2010-08-23 Revised:2010-10-26 Online:2010-12-01 Published:2010-12-01
  • Contact: HAN Sheng-wei

序半群上的等同关系

韩胜伟   

  1. 陕西师范大学 数学与信息科学学院,西安 710062
  • 通讯作者: 韩胜伟

Abstract: In this paper,the identical relations between two subsets of quantale are first introduced.Secondly,in terms of the quantale completion of ordered semigroup,the concept of an identical relation between two subsets of ordered semigroup is given.Finally,some of the properties of the identical relations on ordered semigroup are discussed.

Key words: complete lattice, Quantale, ordered semigroup, congruence

摘要: 首先引入了Quantale上两个子集之间的等同关系;其次,利用序半群的Quantale完备化给出了序半群上两个子集之间的等同关系;最后,讨论了序半群上三个不同等同关系的性质。

关键词: 完备格, Quantale, 序半群, 同余

CLC Number: