Korean J. Math. Vol. 24 No. 3 (2016) pp.345-367
DOI: https://doi.org/10.11568/kjm.2016.24.3.345

Derivations of UP-algebras

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Published: Sep 30, 2016
Keywords:
UP-algebra, $(l, r)$-derivation, $(r, l)$-derivation, derivation
Mathematics Subject Classification:
03G25

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Kaewta Sawika
Department of Mathematics School of Science University of Phayao Phayao 56000, Thailand
Rossukon Intasan
Department of Mathematics School of Science University of Phayao Phayao 56000, Thailand
Arocha Kaewwasri
Department of Mathematics School of Science University of Phayao Phayao 56000, Thailand
Aiyared Iampan
Department of Mathematics School of Science University of Phayao Phayao 56000, Thailand

Abstract

The concept of derivations of BCI-algebras was first introduced by Jun and Xin. In this paper, we introduce the notions of $(l,r)$-derivations, $(r,l)$-derivations and derivations of UP-algebras and investigate some related properties. In addition, we define two subsets $\mathrm{Ker}_{d}(A)$ and $\mathrm{Fix}_{d}(A)$ for some derivation $d$ of a UP-algebra $A$, and we consider some properties of these as well.


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