GENERALISASI q-DERIVASI DI BE-ALJABAR

Elsi Fitria, Endah Dwi Jayanti, Sri Gemawati

Abstract


BE-algebra is an algebra (X; *,1) of type (2,0) that satisfies the axioms (BE1) x*x=1, (BE2) x*1=1, (BE3) 1*x=x, and (BE4) x*(y*z)=y*(x*z) for all x,y,z ∈X. In this paper, the concept of generalization of q-derivation in BE-algebra is defined and its properties are determined. Then,we discuss the properties of the kernel of a generalized q-derivation in BE-algebra based on their relation to its elements.

Keywords


q-derivation, generalized q-derivation, BE-algebra, kernel

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DOI: https://doi.org/10.15548/map.v5i1.6094
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