Kim, K. H.; Lee, Y. H. On generalized semiderivations of \(\Gamma\)-rings. (English) Zbl 1370.16044 Electron. J. Math. Anal. Appl. 5, No. 2, 18-27 (2017). Summary: In this paper, we introduce the notion of a generalized semiderivation on \(\Gamma\)-ring, and we try to generalize some known results of derivations, semiderivations and generalized derivations to generalized semiderivations on a prime \(\Gamma\)-ring. We also prove that there exist no nontrivial generalized semiderivations which act as a homomorphism or as an antihomomorphism on a prime \(\Gamma\)-ring. MSC: 16Y99 Generalizations 16W25 Derivations, actions of Lie algebras Keywords:\(\Gamma\)-ring; generalized semiderivation; prime; 2-torsion free; commutativ PDFBibTeX XMLCite \textit{K. H. Kim} and \textit{Y. H. Lee}, Electron. J. Math. Anal. Appl. 5, No. 2, 18--27 (2017; Zbl 1370.16044) Full Text: Link