Homoderivations and Their Impact on Lie Ideals in Prime Rings

Authors : Evrim Güven

Pages : 41-48

Doi:10.38061/idunas.1356057

View : 76 | Download : 58

Publication Date : 2023-12-30

Article Type : Research Paper

Abstract :Assume we have a prime ring denoted as $R$, with a characteristic distinct from two. The concept of a homoderivation refers to an additive map $Η$ of a ring $R$ that satisfies the property $Η(r_1 r_2 )=Η(r_1 ) r_2+r_1 Η(r_2 )+Η(r_1 )Η(r_2 )$, $\\forall r_1,r_2 \\in R$. This article aims to obtain results for prime rings, ideals, and Lie ideals by utilizing the concept of homoderivation in conjunction with the established theory of derivations.
Keywords : Prime ring, Homoderivation, Lie ideal, Jordan ideal

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