Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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DERIVATIONS OF UP-ALGEBRAS

  • Sawika, Kaewta (Department of Mathematics School of Science University of Phayao) ;
  • Intasan, Rossukon (Department of Mathematics School of Science University of Phayao) ;
  • Kaewwasri, Arocha (Department of Mathematics School of Science University of Phayao) ;
  • Iampan, Aiyared (Department of Mathematics School of Science University of Phayao)
  • Received : 2016.04.19
  • Accepted : 2016.07.12
  • Published : 2016.09.30
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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 $Ker_d(A)$ and $Fix_d(A)$ for some derivation d of a UP-algebra A, and we consider some properties of these as well.

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References

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