TY  - JOUR
T1  - Homoderivations and Their Impact on Lie Ideals in Prime Rings
AU  - Güven, Evrim
PY  - 2023
DA  - December
Y2  - 2023
DO  - 10.38061/idunas.1356057
JF  - Natural and Applied Sciences Journal
JO  - IDU Natural and Applied Sciences Journal (IDUNAS)
PB  - İzmir Demokrasi Üniversitesi
WT  - DergiPark
SN  - 2645-9000
SP  - 41
EP  - 48
VL  - 6
IS  - 2
LA  - en
AB  - 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.
KW  - Prime ring
KW  - Homoderivation
KW  - Lie ideal
KW  - Jordan ideal.
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UR  - https://doi.org/10.38061/idunas.1356057
L1  - http://dergipark.org.tr/tr/download/article-file/3389207
ER  -