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ON GENERALIZED (α, β)-DERIVATIONS IN BCI-ALGEBRAS
ON GENERALIZED (α, β)-DERIVATIONS IN BCI-ALGEBRAS
Journal of applied mathematics & informatics. 2014. Jan, 32(1_2): 27-38
  • Received : March 01, 2013
  • Published : January 30, 2014
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Al-Roqi, Abdullah M.

Abstract
The notion of generalized (regular) (${\alpha},\;{\beta}$)-derivations of a BCI-algebra is introduced, some useful examples are discussed, and related properties are investigated. The condition for a generalized (${\alpha},\;{\beta}$)-derivation to be regular is provided. The concepts of a generalized F-invariant (${\alpha},\;{\beta}$)-derivation and ${\alpha}$-ideal are introduced, and their relations are discussed. Moreover, some results on regular generalized (${\alpha},\;{\beta}$)-derivations are proved.
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