On Power Idealization Filter Topologies of Lattice Implication Algebras

The aim of this paper is to introduce power idealization filter topologies with respect to filter topologies and power ideals of lattice implication algebras, and to investigate some properties of power idealization filter topological spaces and their quotient spaces.

Bibliographic Details
Main Authors: Shi-Zhong Bai, Xiu-Yun Wu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/812145
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spelling doaj-d23c4fc22b6d4fd8b6ad793d99344eb02020-11-24T21:48:03ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/812145812145On Power Idealization Filter Topologies of Lattice Implication AlgebrasShi-Zhong Bai0Xiu-Yun Wu1School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, ChinaSchool of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, ChinaThe aim of this paper is to introduce power idealization filter topologies with respect to filter topologies and power ideals of lattice implication algebras, and to investigate some properties of power idealization filter topological spaces and their quotient spaces.http://dx.doi.org/10.1155/2014/812145
collection DOAJ
language English
format Article
sources DOAJ
author Shi-Zhong Bai
Xiu-Yun Wu
spellingShingle Shi-Zhong Bai
Xiu-Yun Wu
On Power Idealization Filter Topologies of Lattice Implication Algebras
The Scientific World Journal
author_facet Shi-Zhong Bai
Xiu-Yun Wu
author_sort Shi-Zhong Bai
title On Power Idealization Filter Topologies of Lattice Implication Algebras
title_short On Power Idealization Filter Topologies of Lattice Implication Algebras
title_full On Power Idealization Filter Topologies of Lattice Implication Algebras
title_fullStr On Power Idealization Filter Topologies of Lattice Implication Algebras
title_full_unstemmed On Power Idealization Filter Topologies of Lattice Implication Algebras
title_sort on power idealization filter topologies of lattice implication algebras
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
description The aim of this paper is to introduce power idealization filter topologies with respect to filter topologies and power ideals of lattice implication algebras, and to investigate some properties of power idealization filter topological spaces and their quotient spaces.
url http://dx.doi.org/10.1155/2014/812145
work_keys_str_mv AT shizhongbai onpoweridealizationfiltertopologiesoflatticeimplicationalgebras
AT xiuyunwu onpoweridealizationfiltertopologiesoflatticeimplicationalgebras
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