- Natural and Applied Sciences Journal
- Cilt: 6 Sayı: 2
- Homoderivations and Their Impact on Lie Ideals in Prime Rings
Homoderivations and Their Impact on Lie Ideals in Prime Rings
Authors : Evrim Güven
Pages : 41-48
Doi:10.38061/idunas.1356057
View : 25 | Download : 42
Publication Date : 2023-12-30
Article Type : Research
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.