Derivations of Bd-Algebras were Constructed into Semigroups

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DOI: https://doi.org/10.28924/2291-8639-23-2025-69
Published: Mar 17, 2025
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Warud Nakkhasen, Jiratchaya Panyachanawong, Natthinan Khambai, Teerapan Jodnok, Derivations of Bd-Algebras were Constructed into Semigroups, Int. J. Anal. Appl., 23 (2025), 69.

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Warud Nakkhasen, Jiratchaya Panyachanawong, Natthinan Khambai, Teerapan Jodnok

Abstract

Bantaojai et al. introduced the algebraic structure called Bd-algebras in 2022 as a nonempty set with the binary operation ∗ and the constant 0, satisfying some properties. In this article, we present the notions of left-right (right-left) derivations and derivations in Bd-algebras. After that, we examine some features of left-right (right-left) derivations and derivations in Bd-algebras. Finally, we show some semigroups that use the set of all derivations of Bd-algebras and some binary operations on that set.

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