Open AccessOn left (θ,ϕ)-derivations in BCI-algebras
Author(s) -
G. Muhiuddin,
Abdullah M. Al-roqi
Publication year - 2014
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.07.013
Subject(s) - mathematics , ideal (ethics) , brain–computer interface , invariant (physics) , algebra over a field , pure mathematics , electroencephalography , epistemology , psychology , philosophy , psychiatry , mathematical physics
The notion of (regular) left (θ,ϕ)-derivations of a BCI-algebra is introduced, some useful examples are discussed, and related properties are investigated. Conditions for a left (θ,ϕ)-derivation to be regular are provided. The concepts of a d(θ,ϕ)-invariant left (θ,ϕ)-derivation and θ-ideal are introduced, and their relations are discussed. Furthermore, some more interesting results are established