Communications of the
Korean Mathematical Society CKMS

This article examines the connection between 3-derivations and the commutativity of a prime ring $R$ with an involution $\ast$ that fulfills particular algebraic identities for symmetric and skew symmetric elements. In practice, certain well-known problems, such as the Herstein problem, have been studied in the setting of three derivations in involuted rings.

Keywords: Prime ring, involution, commutativity, generalized derivation, symmetric elements, skew symmetric elements

MSC numbers: 16N60, 16W10, 16W25