The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters

The most simplified axiom systems of pseudo-weak-R0 algebras and pseudo-R0 algebras are obtained, and the mutually independence of axioms is proved. We introduce the notions of filters and normal filters in pseudo-weak-R0 algebras. The structures and properties of the generated filters and generated...

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Main Author:	Yong Lin Liu
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	The Scientific World Journal
Online Access:	http://dx.doi.org/10.1155/2014/854168

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record_format	Article
spelling	doaj-884b34a52a2243cfb2c02296e22a70622020-11-24T20:48:18ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/854168854168The Axioms Independence of Pseudo-Weak-R0 Algebras and FiltersYong Lin Liu0Department of Mathematics and Computer, Wuyi University, Wuyishan, Fujian 354300, ChinaThe most simplified axiom systems of pseudo-weak-R0 algebras and pseudo-R0 algebras are obtained, and the mutually independence of axioms is proved. We introduce the notions of filters and normal filters in pseudo-weak-R0 algebras. The structures and properties of the generated filters and generated normal filters in pseudo-weak-R0 algebras are obtained. These can be seen as noncommutative generalizations of the corresponding ones in weak-R0 algebras.http://dx.doi.org/10.1155/2014/854168
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yong Lin Liu
spellingShingle	Yong Lin Liu The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters The Scientific World Journal
author_facet	Yong Lin Liu
author_sort	Yong Lin Liu
title	The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters
title_short	The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters
title_full	The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters
title_fullStr	The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters
title_full_unstemmed	The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters
title_sort	axioms independence of pseudo-weak-r0 algebras and filters
publisher	Hindawi Limited
series	The Scientific World Journal
issn	2356-6140 1537-744X
publishDate	2014-01-01
description	The most simplified axiom systems of pseudo-weak-R0 algebras and pseudo-R0 algebras are obtained, and the mutually independence of axioms is proved. We introduce the notions of filters and normal filters in pseudo-weak-R0 algebras. The structures and properties of the generated filters and generated normal filters in pseudo-weak-R0 algebras are obtained. These can be seen as noncommutative generalizations of the corresponding ones in weak-R0 algebras.
url	http://dx.doi.org/10.1155/2014/854168
work_keys_str_mv	AT yonglinliu theaxiomsindependenceofpseudoweakr0algebrasandfilters AT yonglinliu axiomsindependenceofpseudoweakr0algebrasandfilters
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The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters

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