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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Detalles Bibliográficos
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
Descripción
Sumario: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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