Presenting the collaborations of over thirtyinternational experts in the latest developments in pure andapplied mathematics, this volume serves as an anthology of research with acommon basis in algebra, functional analysis and their applications. Special attention is devoted to non-commutative algebras, non-associativealgebras, operator theory and ring and module theory. These themes arerelevant in research and development in coding theory, cryptography and quantummechanics. The topics in this volume were presented at the Workshop on Non-Associative& Non-Commutative Algebra and Operator Theory, held May23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honorof Professor Amin Kaidi. The workshop was hosted by theuniversity's Laboratory of Algebra,Cryptology, Algebraic Geometry and Applications, in cooperation withthe University of Almería and the University of Málaga. Dr. Kaidi'swork focuses on non-associative rings and algebras, operator theory andfunctional analysis, and he has served as a mentor to a generation ofmathematicians in Senegal and around the world.