Year: 2025
Type: article
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.
Institution: Riau University
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4415323787