MULTIPLICATIVE (GENERALIZED)-DERIVATIONS AND SEMIDERIVATIONS IN RINGS

The primary objective of the book is to explore specific classes of rings that satisfy certain identities involving various types of derivations. The book comprises into five chapters. Chapter one focuses on introducing key definitions and concepts that will be utilized throughout the book. Chapter two is devoted to the study of derivations generalized derivations and left generalized derivations in prime and semiprime rings. Chapter three covers with the study of multiplicative (generalized)-derivations with semiprime rings. Chapter four investigates some properties of multiplicative (generalized)(αβ)-derivations in prime and semiprime rings. Chapter five deals with the results of multiplicative(generalized)-semiderivations in semiprime rings and *-prime rings.