On Symmetric Left Bi-Derivations in BCI-Algebras
The notion of symmetric left bi-derivation of a BCI-algebra X is introduced, and related properties are investigated. Some results on componentwise regular and d-regular symmetric left bi-derivations are obtained. Finally, characterizations of a p-semisimple BCI-algebra are explored, and it is prove...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/238490 |
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| _version_ | 1832549996054970368 |
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| author | G. Muhiuddin Abdullah M. Al-roqi Young Bae Jun Yilmaz Ceven |
| author_facet | G. Muhiuddin Abdullah M. Al-roqi Young Bae Jun Yilmaz Ceven |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| description | The notion of symmetric left bi-derivation of a BCI-algebra X is introduced, and related properties are investigated. Some results on componentwise regular and d-regular symmetric left bi-derivations are obtained. Finally, characterizations of a p-semisimple BCI-algebra are explored, and it is proved that, in a p-semisimple BCI-algebra, F is a symmetric left bi-derivation if and only if it is a symmetric bi-derivation. |
| format | Article |
| id | doaj-art-4f4f3a03df45440e9b6808ad398a042d |
| 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-4f4f3a03df45440e9b6808ad398a042d2025-02-03T06:07:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/238490238490On Symmetric Left Bi-Derivations in BCI-AlgebrasG. Muhiuddin0Abdullah M. Al-roqi1Young Bae Jun2Yilmaz Ceven3Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics Education (and RINS), Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics, Faculty of Science, Suleyman Demirel University, 32260 Isparta, TurkeyThe notion of symmetric left bi-derivation of a BCI-algebra X is introduced, and related properties are investigated. Some results on componentwise regular and d-regular symmetric left bi-derivations are obtained. Finally, characterizations of a p-semisimple BCI-algebra are explored, and it is proved that, in a p-semisimple BCI-algebra, F is a symmetric left bi-derivation if and only if it is a symmetric bi-derivation.http://dx.doi.org/10.1155/2013/238490 |
| spellingShingle | G. Muhiuddin Abdullah M. Al-roqi Young Bae Jun Yilmaz Ceven On Symmetric Left Bi-Derivations in BCI-Algebras International Journal of Mathematics and Mathematical Sciences |
| title | On Symmetric Left Bi-Derivations in BCI-Algebras |
| title_full | On Symmetric Left Bi-Derivations in BCI-Algebras |
| title_fullStr | On Symmetric Left Bi-Derivations in BCI-Algebras |
| title_full_unstemmed | On Symmetric Left Bi-Derivations in BCI-Algebras |
| title_short | On Symmetric Left Bi-Derivations in BCI-Algebras |
| title_sort | on symmetric left bi derivations in bci algebras |
| url | http://dx.doi.org/10.1155/2013/238490 |
| work_keys_str_mv | AT gmuhiuddin onsymmetricleftbiderivationsinbcialgebras AT abdullahmalroqi onsymmetricleftbiderivationsinbcialgebras AT youngbaejun onsymmetricleftbiderivationsinbcialgebras AT yilmazceven onsymmetricleftbiderivationsinbcialgebras |