On left (h,/)-derivations in BCI-algebras | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 22, Issue 2, October 2014, Page 157-161 PDF (470.81 K) | ||||
Document Type: Original Article | ||||
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Authors | ||||
G. Muhiuddin; Abdullah M. Al-roqi | ||||
Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia | ||||
Abstract | ||||
The notion of (regular) left (h,/)-derivations of a BCI-algebra is introduced, some useful examples are discussed, and related properties are investigated. Conditions for a left (h,/)-derivation to be regular are provided. The concepts of a d(h,/)-invariant left (h,/)-derivation and h-ideal are introduced, and their relations are discussed. Furthermore, some more interesting results are established. | ||||
Keywords | ||||
BCI-algebra; p-Semisimple BCI-algebra; Left (h,/)-derivations; Regular left (h,/)-derivations; D(h,/)-invariant left (h,/)- derivation; h-ideal | ||||
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