On the compositions of derivations of prime rings

This master's thesis consists of four main chapters. In the first chapter, topic of the thesis is introduced, and a brief information about the topic is provided. In the second chapter, to facilitate intelligibility and readability of the thesis, general background and informations are provided. In the third chapter, the study presented by J. Krempa and J. Matczuk in 1984 is examined. Thereby, we have investigated those classes of rings for which the compositions of certain derivations is also a derivation. Further, some results about prime and semiprime rings are included. In the fourth chapter, based on the study of C. Lanski in 1988, Theorem 1 and Theorem 2 stated in Posner's study in 1957 extended Lie ideals and examined how differential identities are used to obtain relevant results.