Korean J. Math. Vol. 25 No. 2 (2017) pp.163-179
DOI: https://doi.org/10.11568/kjm.2017.25.2.163

On left derivations of $BCH$-algebras

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Published: Jun 30, 2017
Keywords:
BCH-algebra, derivation, left derivation, isotone, fixed set, medial
Mathematics Subject Classification:
16W25, 16N60, 16U80

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Kyung Ho Kim
Department of Mathematics Korea National University of Transportation Chungju 380-702, Korea
Yong Hoon Lee
Department of Mathematics Dankook University Cheonan 330-714, Korea

Abstract

In this paper, we introduce the notion of left derivations of $BCH$ algebras and investigate some properties of left derivations in a $BCH$-algebra. Moreover, we introduce the notions of fixed set and kernel set of derivations in a $BCH$-algebra and obtained some interesting properties in medial $BCH$-algebras. Also, we discuss the relations between ideals in a medial $BCH$-algebras.



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References

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