Jordan Derivation on the Polynomial Ring R[x]

Main Article Content

Desi Elena Sitompul
Fitriani
Siti Laelatul Chasanah
Ahmad Faisol

Abstract

Given a ring R. An additive mapping δ: R → R is called a Jordan derivation if δ(a²) = δ(a)a + aδ(a) for every a in R. Jordan derivation is one of the special forms of derivation. In this study, we investigate the Jordan derivation on the polynomial ring R[x] and examine its properties. This study begins by constructing the Jordan derivation on the polynomial ring R[x], followed by investigating its characteristics, including the relationship between the Jordan derivation on the ring R and on the polynomial ring R[x]. In addition, several concrete examples are presented to illustrate the main results obtained. This research is expected to contribute to a deeper understanding of the properties of Jordan derivations on polynomial rings.

Article Details

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Author Biographies

Desi Elena Sitompul, Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Lampung, Lampung, 35145, Indonesia

Department of Mathematics, Faculty of Mathematics and Natural Sciences

Siti Laelatul Chasanah, Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Lampung, Lampung, 35145, Indonesia

Department of Mathematics, Faculty of Mathematics and Natural Sciences

Ahmad Faisol, Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Lampung, Lampung, 35145, Indonesia

Department of Mathematics, Faculty of Mathematics and Natural Sciences

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