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t-derivations in BP-algebras Siswanti, T. Fuja; Gemawati, Sri; Syamsudhuha, Syamsudhuha
Science, Technology and Communication Journal Vol. 1 No. 3 (2021): SINTECHCOM Journal (June 2021)
Publisher : Lembaga Studi Pendidikan and Rekayasa Alam Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59190/stc.v1i3.199

Abstract

BP-algebras is a non-empty set (X, *, 0) with the binary operation “*” satisfies the axioms (BP1) x * x = 0, (BP2) x * (x * y) = y, (BP3) (x * z) * (y * z) = x * y for all x, y, z = X . In this paper, we define the concept of (l, r) and (r, l) t-derivation in BP-algebra and investigate their properties. Based on the concepts of (l, r) and (r, l) t-derivation in BP-algebra, the properties of t-derivation in BP-algebra are constructed.