On hyper BCC-algebras

We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them. Next, we calculate all nonisomorphic 22 hyper BCC-algebras of order 3 of which only three...

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Main Authors: R. A. Borzooei, W. A. Dudek, N. Koohestani
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/49703
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author R. A. Borzooei
W. A. Dudek
N. Koohestani
author_facet R. A. Borzooei
W. A. Dudek
N. Koohestani
author_sort R. A. Borzooei
collection DOAJ
description We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them. Next, we calculate all nonisomorphic 22 hyper BCC-algebras of order 3 of which only three are not hyper BCK-algebras.
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institution Kabale University
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1687-0425
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-04c24faa842f40f0ab46828df13b161c2025-02-03T01:13:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/4970349703On hyper BCC-algebrasR. A. Borzooei0W. A. Dudek1N. Koohestani2Department of Mathematics, University of Sistan and Baluchestan, Zahedan, IranInstitute of Mathematics and Computer Science, Wroclaw University of Technology, Wroclaw 50-370, PolandDepartment of Mathematics, University of Sistan and Baluchestan, Zahedan, IranWe study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them. Next, we calculate all nonisomorphic 22 hyper BCC-algebras of order 3 of which only three are not hyper BCK-algebras.http://dx.doi.org/10.1155/IJMMS/2006/49703
spellingShingle R. A. Borzooei
W. A. Dudek
N. Koohestani
On hyper BCC-algebras
International Journal of Mathematics and Mathematical Sciences
title On hyper BCC-algebras
title_full On hyper BCC-algebras
title_fullStr On hyper BCC-algebras
title_full_unstemmed On hyper BCC-algebras
title_short On hyper BCC-algebras
title_sort on hyper bcc algebras
url http://dx.doi.org/10.1155/IJMMS/2006/49703
work_keys_str_mv AT raborzooei onhyperbccalgebras
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