Maps Preserving Products and Derivations: Advances in Algebraic Structures

The volume explores the preservation properties of maps within complex algebraic structures.It comprises two parts. The first section focuses on the analysis of maps that preserve products within various algebraic frameworks, including semiprime rings, matrix algebras, and von Neumann algebras.It examines the conditions under which these maps maintain product structures, providing insights into their behaviour and implications in different algebraic settings.The discussions extend to the exploration of specific cases where these preservation properties are crucial, offering a detailed examination of how product-preserving maps influence the structural integrity of diverse algebraic entities.The second section shifts attention to the study of maps that preserve derivations, which play a critical role in the study of algebraic structures and their transformations.This part explores various forms of derivations and the maps that preserve them, highlighting their impact on the underlying a