计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (9): 31-32.DOI: 10.3778/j.issn.1002-8331.2010.09.010

• 研究、探讨 • 上一篇    下一篇

Quantale上的基

韩胜伟1,潘芳芳2   

  1. 1.陕西师范大学 数学与信息科学学院,西安 710062
    2.西安邮电学院 应用数学与物理系,西安 710121
  • 收稿日期:2009-04-07 修回日期:2009-05-22 出版日期:2010-03-21 发布日期:2010-03-21
  • 通讯作者: 韩胜伟

Basis on Quantale

HAN Sheng-wei1,PAN Fang-fang2   

  1. 1.College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
    2.Department of Mathematics and Physics,Xi’an University of Posts and Telecommunications,Xi’an 710121,China
  • Received:2009-04-07 Revised:2009-05-22 Online:2010-03-21 Published:2010-03-21
  • Contact: HAN Sheng-wei

摘要: 研究了子Quantale的性质及其具体结构,给出了Quantale上稠密子集和基的概念,讨论了稠密子集和基之间的关系以及稠密子集和基的性质。

关键词: 完备格, Quantale, 子Quantale, 余核映射, 稠密子集,

Abstract: The properties and concrete structures of subquantale are studied.The concepts of a dense subset and a basis on Quantale are introduced.The relationship between dense subsets and basis and the properties of dense subset and basis are discussed.

Key words: complete lattice, Quantale, subquantale, conucleus, dense subset, basis

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