The Axioms Independence of Pseudo-Weak-R (0) Algebras and Filters

The most simplified axiom systems of pseudo-weak-R (0) algebras and pseudo-R (0) algebras are obtained, and the mutually independence of axioms is proved. We introduce the notions of filters and normal filters in pseudo-weak-R (0) algebras. The structures and properties of the generated filters and...

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Autor principal: Liu, Yong Lin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4119676/
https://www.ncbi.nlm.nih.gov/pubmed/25114979
http://dx.doi.org/10.1155/2014/854168
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author Liu, Yong Lin
author_facet Liu, Yong Lin
author_sort Liu, Yong Lin
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description The most simplified axiom systems of pseudo-weak-R (0) algebras and pseudo-R (0) algebras are obtained, and the mutually independence of axioms is proved. We introduce the notions of filters and normal filters in pseudo-weak-R (0) algebras. The structures and properties of the generated filters and generated normal filters in pseudo-weak-R (0) algebras are obtained. These can be seen as noncommutative generalizations of the corresponding ones in weak-R (0) algebras.
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spelling pubmed-41196762014-08-11 The Axioms Independence of Pseudo-Weak-R (0) Algebras and Filters Liu, Yong Lin ScientificWorldJournal Research Article The most simplified axiom systems of pseudo-weak-R (0) algebras and pseudo-R (0) algebras are obtained, and the mutually independence of axioms is proved. We introduce the notions of filters and normal filters in pseudo-weak-R (0) algebras. The structures and properties of the generated filters and generated normal filters in pseudo-weak-R (0) algebras are obtained. These can be seen as noncommutative generalizations of the corresponding ones in weak-R (0) algebras. Hindawi Publishing Corporation 2014 2014-07-07 /pmc/articles/PMC4119676/ /pubmed/25114979 http://dx.doi.org/10.1155/2014/854168 Text en Copyright © 2014 Yong Lin Liu. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Liu, Yong Lin
The Axioms Independence of Pseudo-Weak-R (0) Algebras and Filters
title The Axioms Independence of Pseudo-Weak-R (0) Algebras and Filters
title_full The Axioms Independence of Pseudo-Weak-R (0) Algebras and Filters
title_fullStr The Axioms Independence of Pseudo-Weak-R (0) Algebras and Filters
title_full_unstemmed The Axioms Independence of Pseudo-Weak-R (0) Algebras and Filters
title_short The Axioms Independence of Pseudo-Weak-R (0) Algebras and Filters
title_sort axioms independence of pseudo-weak-r (0) algebras and filters
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4119676/
https://www.ncbi.nlm.nih.gov/pubmed/25114979
http://dx.doi.org/10.1155/2014/854168
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