On Weak-BCC-Algebras

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

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Bibliographic Details
Main Authors: Janus Thomys, Xiaohong Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/935097
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author Janus Thomys
Xiaohong Zhang
author_facet Janus Thomys
Xiaohong Zhang
author_sort Janus Thomys
collection DOAJ
description We describe weak-BCC-algebras (also called BZ-algebras) in which the condition is satisfied only in the case when elements belong to the same branch. We also characterize ideals, nilradicals, and nilpotent elements of such algebras.
format Article
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institution Kabale University
issn 1537-744X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-d9e14738de4a4d8b8ebb28be28af72db2025-02-03T07:25:00ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/935097935097On Weak-BCC-AlgebrasJanus Thomys0Xiaohong Zhang1Institute of Mathematics, Wroclaw University of Technology, 50-370 Wroclaw, PolandDepartment of Mathematics, College of Art and Sciences, Shanghai Maritime Univesrity, Shanghai 201306, ChinaWe describe weak-BCC-algebras (also called BZ-algebras) in which the condition is satisfied only in the case when elements belong to the same branch. We also characterize ideals, nilradicals, and nilpotent elements of such algebras.http://dx.doi.org/10.1155/2013/935097
spellingShingle Janus Thomys
Xiaohong Zhang
On Weak-BCC-Algebras
The Scientific World Journal
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
url http://dx.doi.org/10.1155/2013/935097
work_keys_str_mv AT janusthomys onweakbccalgebras
AT xiaohongzhang onweakbccalgebras