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几种多值序及其在拓扑中的应用

李令强 金秋

计算机工程与应用2011,Vol.47Issue(2):38-40,3.
计算机工程与应用2011,Vol.47Issue(2):38-40,3.DOI:10.3778/j.issn.1002-8331.2011.02.012

几种多值序及其在拓扑中的应用

Some kinds of many-valued orders and their application in topology.

李令强 1金秋1

作者信息

  • 1. 聊城大学,数学科学学院,山东,聊城,252059
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摘要

Abstract

In this paper, some kinds of many-valued orders are studied and their application in topology is investigated. In precisely, for an arbitrary complete residuated lattice (Ω, *, 1),the Ω-filter Monad (FΩ, η,μ) is constructed from the viewpoint of many-valued order and then the negighborhood system of strong Ω-topology is presented. This shows the closed interrelationship between topologcial sturcutre,ordered structure and category.

关键词

多值序/Monad对角运算/多值拓扑/多值滤子

Key words

many-valued orders/Monad diagonal operator/many-valued topology/many-valued filter

分类

数理科学

引用本文复制引用

李令强,金秋..几种多值序及其在拓扑中的应用[J].计算机工程与应用,2011,47(2):38-40,3.

基金项目

教育部科学技术研究重点项目(No.206089) (No.206089)

聊城大学博士基金. ()

计算机工程与应用

OACSCDCSTPCD

1002-8331

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