Basis on Quantale

doi:10.3778/j.issn.1002-8331.2010.09.010

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (9): 31-32.DOI: 10.3778/j.issn.1002-8331.2010.09.010

• 研究、探讨 • Previous Articles Next Articles

Basis on Quantale

HAN Sheng-wei¹，PAN Fang-fang²

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

Quantale上的基

韩胜伟¹，潘芳芳²

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

通讯作者: 韩胜伟

Abstract

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

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, 基

CLC Number:

O153.1

HAN Sheng-wei¹，PAN Fang-fang². Basis on Quantale[J]. Computer Engineering and Applications, 2010, 46(9): 31-32.

韩胜伟¹，潘芳芳². Quantale上的基[J]. 计算机工程与应用, 2010, 46(9): 31-32.

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Basis on Quantale

Quantale上的基

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