Advanced
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
Download
PDF
e-PUB
PubReader
PPT
Export by style
Article
Author
Metrics
Cited by
TagCloud
About the Authors
Al-Roqi Abdullah M.

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