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

Kaewta Sawika, Rossukon Intasan, Arocha Kaewwasri, Aiyared Iampan

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.

Keywords


UP-algebra, $(l,r)$-derivation, $(r,l)$-derivation, derivation

Subject classification

03G25

Sponsor(s)



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References


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