Pseudo-Weak-R (0) Algebras

A positive answer to the open problem of Iorgulescu on extending weak-R (0) algebras and R (0)-algebras to the noncommutative forms is given. We show that pseudo-weak-R (0) algebras are categorically isomorphic to pseudo-IMTL algebras and that pseudo-R (0) algebras are categorically isomorphic to ps...

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Detalles Bibliográficos
Autores principales: Liu, Yong Lin, Cai, Xiaobo
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/PMC4181511/
https://www.ncbi.nlm.nih.gov/pubmed/25302322
http://dx.doi.org/10.1155/2014/352381
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author Liu, Yong Lin
Cai, Xiaobo
author_facet Liu, Yong Lin
Cai, Xiaobo
author_sort Liu, Yong Lin
collection PubMed
description A positive answer to the open problem of Iorgulescu on extending weak-R (0) algebras and R (0)-algebras to the noncommutative forms is given. We show that pseudo-weak-R (0) algebras are categorically isomorphic to pseudo-IMTL algebras and that pseudo-R (0) algebras are categorically isomorphic to pseudo-NM algebras. Some properties, the noncommutative forms of the properties in weak-R (0) algebras and R (0)-algebras, are investigated. The simplified axiom systems of pseudo-weak-R (0) algebras and pseudo-R (0) algebras are obtained.
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spelling pubmed-41815112014-10-09 Pseudo-Weak-R (0) Algebras Liu, Yong Lin Cai, Xiaobo ScientificWorldJournal Research Article A positive answer to the open problem of Iorgulescu on extending weak-R (0) algebras and R (0)-algebras to the noncommutative forms is given. We show that pseudo-weak-R (0) algebras are categorically isomorphic to pseudo-IMTL algebras and that pseudo-R (0) algebras are categorically isomorphic to pseudo-NM algebras. Some properties, the noncommutative forms of the properties in weak-R (0) algebras and R (0)-algebras, are investigated. The simplified axiom systems of pseudo-weak-R (0) algebras and pseudo-R (0) algebras are obtained. Hindawi Publishing Corporation 2014 2014-05-04 /pmc/articles/PMC4181511/ /pubmed/25302322 http://dx.doi.org/10.1155/2014/352381 Text en Copyright © 2014 Y. L. Liu and X. Cai. 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
Cai, Xiaobo
Pseudo-Weak-R (0) Algebras
title Pseudo-Weak-R (0) Algebras
title_full Pseudo-Weak-R (0) Algebras
title_fullStr Pseudo-Weak-R (0) Algebras
title_full_unstemmed Pseudo-Weak-R (0) Algebras
title_short Pseudo-Weak-R (0) Algebras
title_sort pseudo-weak-r (0) algebras
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4181511/
https://www.ncbi.nlm.nih.gov/pubmed/25302322
http://dx.doi.org/10.1155/2014/352381
work_keys_str_mv AT liuyonglin pseudoweakr0algebras
AT caixiaobo pseudoweakr0algebras

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