On (α,β)-Derivations in BCI-Algebras
The notion of (regular) (α,β)-derivations of a BCI-algebra X is introduced, some useful examples are discussed, and related properties are investigated. The condition for a (α,β)-derivation to be regular is provided. The concepts of a d(α,β)-invariant (α,β)-derivation and α-ideal are introduced, an...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/403209 |
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| _version_ | 1832567527489667072 |
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| author | G. Muhiuddin Abdullah M. Al-Roqi |
| author_facet | G. Muhiuddin Abdullah M. Al-Roqi |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| description | The notion of (regular) (α,β)-derivations of a BCI-algebra X is introduced, some useful examples are discussed, and related properties are investigated. The condition for a (α,β)-derivation to be regular is provided. The concepts of a d(α,β)-invariant (α,β)-derivation and α-ideal are introduced, and their relations are discussed. Finally, some results on regular (α,β)-derivations are obtained. |
| format | Article |
| id | doaj-art-885d052ed6bc41458a72b9eeb65b799b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-885d052ed6bc41458a72b9eeb65b799b2025-02-03T01:01:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/403209403209On (α,β)-Derivations in BCI-AlgebrasG. Muhiuddin0Abdullah M. Al-Roqi1Department of Mathematics, University of Tabuk, P. O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, University of Tabuk, P. O. Box 741, Tabuk 71491, Saudi ArabiaThe notion of (regular) (α,β)-derivations of a BCI-algebra X is introduced, some useful examples are discussed, and related properties are investigated. The condition for a (α,β)-derivation to be regular is provided. The concepts of a d(α,β)-invariant (α,β)-derivation and α-ideal are introduced, and their relations are discussed. Finally, some results on regular (α,β)-derivations are obtained.http://dx.doi.org/10.1155/2012/403209 |
| spellingShingle | G. Muhiuddin Abdullah M. Al-Roqi On (α,β)-Derivations in BCI-Algebras Discrete Dynamics in Nature and Society |
| title | On (α,β)-Derivations in BCI-Algebras |
| title_full | On (α,β)-Derivations in BCI-Algebras |
| title_fullStr | On (α,β)-Derivations in BCI-Algebras |
| title_full_unstemmed | On (α,β)-Derivations in BCI-Algebras |
| title_short | On (α,β)-Derivations in BCI-Algebras |
| title_sort | on α β derivations in bci algebras |
| url | http://dx.doi.org/10.1155/2012/403209 |
| work_keys_str_mv | AT gmuhiuddin onabderivationsinbcialgebras AT abdullahmalroqi onabderivationsinbcialgebras |