Generalized Derivations of BCC-Algebras

The notion of generalized derivations of BCC-algebras is introduced, and some related properties are investigated. Also, we consider regular generalized derivations and the D-invariant on ideals of BCC-algebras. We also characterized KerD by generalized derivations.

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Main Authors: S. M. Bawazeer, N. O. Alshehri, Rawia Saleh Babusail
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2013/451212
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author S. M. Bawazeer
N. O. Alshehri
Rawia Saleh Babusail
author_facet S. M. Bawazeer
N. O. Alshehri
Rawia Saleh Babusail
author_sort S. M. Bawazeer
collection DOAJ
description The notion of generalized derivations of BCC-algebras is introduced, and some related properties are investigated. Also, we consider regular generalized derivations and the D-invariant on ideals of BCC-algebras. We also characterized KerD by generalized derivations.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-dbc4d70d7fa143a9b6c969897c1acd6b2025-02-03T01:08:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/451212451212Generalized Derivations of BCC-AlgebrasS. M. Bawazeer0N. O. Alshehri1Rawia Saleh Babusail2Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi ArabiaDepartment of Mathematics, Faculty of Science for Girls, King Abdulaziz University, Jeddah, Saudi ArabiaFaculty of Science for Girls, King Abdulaziz University, Saudi ArabiaThe notion of generalized derivations of BCC-algebras is introduced, and some related properties are investigated. Also, we consider regular generalized derivations and the D-invariant on ideals of BCC-algebras. We also characterized KerD by generalized derivations.http://dx.doi.org/10.1155/2013/451212
spellingShingle S. M. Bawazeer
N. O. Alshehri
Rawia Saleh Babusail
Generalized Derivations of BCC-Algebras
International Journal of Mathematics and Mathematical Sciences
title Generalized Derivations of BCC-Algebras
title_full Generalized Derivations of BCC-Algebras
title_fullStr Generalized Derivations of BCC-Algebras
title_full_unstemmed Generalized Derivations of BCC-Algebras
title_short Generalized Derivations of BCC-Algebras
title_sort generalized derivations of bcc algebras
url http://dx.doi.org/10.1155/2013/451212
work_keys_str_mv AT smbawazeer generalizedderivationsofbccalgebras
AT noalshehri generalizedderivationsofbccalgebras
AT rawiasalehbabusail generalizedderivationsofbccalgebras