C. Jaya Subba Reddy, S. Mallikarjuna Rao, V. Vijaya Kumar, Centralizing and Commuting Left Generalized Derivations on Prime Rings, Volume 11, Bulletin of Mathematical Sciences and Applications (Volume 11)
https://www.scipress.com/BMSA.11.1
Abstract:
    Let <i>R</i> be a prime ring and <i>d</i> a derivation on <i>R</i>. If is a left generalized derivation on <i>R </i>such that ƒ is centralizing on a left ideal <i>U </i>of <i>R,</i> then <i>R</i> is commutative.
Keywords:
    Centralizing, Commuting, Derivations, Generalized Derivation, Left Derivation, Left Generalized Derivation, Prime Ring