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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Format: | Article |
Language: | English |
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Wiley
2006-01-01
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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. |
format | Article |
id | doaj-art-04c24faa842f40f0ab46828df13b161c |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2006-01-01 |
publisher | Wiley |
record_format | Article |
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 AT wadudek onhyperbccalgebras AT nkoohestani onhyperbccalgebras |