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논문KCI 등재

Derivations of UP-algebras

Aiyared Iampan|Kaewta Sawika|Rossukon Intasan|Arocha Kaewwasri
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2016.09|한국수학논문집 (Korean Journal of Mathematics)|제24권 제3호|pp. 345-367|DOI http://dx.doi.org/10.11568/kjm.2016.24.3.345

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참고문헌

키워드

derivationUP-algebra$(lr)$-derivation$(rl)$-derivation
주제분류수학

초록

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.

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.

참고문헌 (33)

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관련 논문AI추천

A note on f-derivations of BCI-algebrasMalik Anjum Javed, Muhammad Aslam대한수학회 · 대한수학회논문집2009 · 제24권 제3호On left derivations of $BCH$-algebras김경호, 이용훈강원경기수학회 · 한국수학논문집2017 · 제25권 제2호Characterization of f-derivations of a BCI-algebraFarhat Nisar영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Derivations on subtraction algebrasMehmet Ali Öztürk, Yilmaz Ceven대한수학회 · 대한수학회논문집2009 · 제24권 제4호Regularity of generalized derivations in $BCI$-algebrasG. Muhiuddin대한수학회 · 대한수학회논문집2016 · 제31권 제2호On symmetric bi-derivations of B-algebrasSibel Altunbicak Kayis, Sule Ayar Ozbal대한수학회 · 대한수학회논문집2016 · 제31권 제2호

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