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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |