Korean J. Math. Vol. 29 No. 2 (2021) pp.387-393
DOI: https://doi.org/10.11568/kjm.2021.29.2.387

Symmetric bi-derivations of subtraction algebras

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Published: Jun 8, 2021
Keywords:
Subtraction algebra, derivation, symmetric bi-derivation, isotone derivation.
Mathematics Subject Classification:
16Y99, 20N20

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Kyung Ho Kim
Department of Mathematics, Korea National University of Transportation, Chungju 27469, Korea.

Abstract

In this paper, we introduce the notion of symmetric bi-derivations on subtraction algebra and investigated some related properties. We prove that a map $D : X\times X\to X$ is a symmetric bi-derivation on $ X$ if and only if $D$ is a symmetric map and it satisfies $D(x-y, z)=D(x, z)-y$ for all $x, y, z\in X.$


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References

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