On Weak-BCC-Algebras

We describe weak-BCC-algebras (also called BZ-algebras) in which the condition (x∗y)∗z = (x∗z)∗y is satisfied only in the case when elements x, y belong to the same branch. We also characterize ideals, nilradicals, and nilpotent elements of such algebras.

Detalles Bibliográficos
Autores principales: Thomys, Janus, Zhang, Xiaohong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3839127/
https://www.ncbi.nlm.nih.gov/pubmed/24311983
http://dx.doi.org/10.1155/2013/935097
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author Thomys, Janus
Zhang, Xiaohong
author_facet Thomys, Janus
Zhang, Xiaohong
author_sort Thomys, Janus
collection PubMed
description We describe weak-BCC-algebras (also called BZ-algebras) in which the condition (x∗y)∗z = (x∗z)∗y is satisfied only in the case when elements x, y belong to the same branch. We also characterize ideals, nilradicals, and nilpotent elements of such algebras.
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spelling pubmed-38391272013-12-05 On Weak-BCC-Algebras Thomys, Janus Zhang, Xiaohong ScientificWorldJournal Research Article We describe weak-BCC-algebras (also called BZ-algebras) in which the condition (x∗y)∗z = (x∗z)∗y is satisfied only in the case when elements x, y belong to the same branch. We also characterize ideals, nilradicals, and nilpotent elements of such algebras. Hindawi Publishing Corporation 2013-11-07 /pmc/articles/PMC3839127/ /pubmed/24311983 http://dx.doi.org/10.1155/2013/935097 Text en Copyright © 2013 J. Thomys and X. Zhang. 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
Thomys, Janus
Zhang, Xiaohong
On Weak-BCC-Algebras
title On Weak-BCC-Algebras
title_full On Weak-BCC-Algebras
title_fullStr On Weak-BCC-Algebras
title_full_unstemmed On Weak-BCC-Algebras
title_short On Weak-BCC-Algebras
title_sort on weak-bcc-algebras
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3839127/
https://www.ncbi.nlm.nih.gov/pubmed/24311983
http://dx.doi.org/10.1155/2013/935097
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