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f-Derivasi dari Pseudo BE-Aljabar
Abstract
A BE-algebra is a non-empty set with a binary operation and a constant that satisfies the following axioms: (𝐵E1) , (𝐵E2) , (𝐵E3) , and (𝐵E4) for all a . As a generalization of BE-algebra, the concept of pseudo BE-algebra is introduced, which is an algebra satisfying the following axioms: (pBE1) and , (pBE2) and , (pBE3) and , (pBE4) , and (pBE5) for all a . In this paper, the concept of f-derivation in pseudo BE-algebra is introduced. The f-derivation in pseudo BE-algebra is defined as a mapping from to that satisfies the equation , where is an endomorphism of , and for all . Based on this definition, various properties of f-derivation in pseudo BE-algebra are constructed, including the concept of regularity, simple formulas for the f-derivation of an element, the relationship between the endomorphism and the f-derivation, as well as several properties related to the relation in pseudo BE-algebra.
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DOI: https://doi.org/10.15548/jostech.v5i1.9911
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