On centrally-extended $ n $-homoderivations on rings

Abstract

In this article, we explored the commutativity of a ring $ \Lambda $ that is equipped with a unique class of mappings called centrally extended $ n $-homoderivations, where $ n $ is an integer. These mappings generalize the concepts of derivations and homoderivations. Furthermore, we investigated specific properties of the center of such rings.

Keywords

• prime and semiprime rings
• homoderivation
• ce-derivation
• ce-$ n $-homoderivation