four The of this volume deal with new notions of whose papers algebras feature is common to have two So are called generating operations. they dial- bras. The first motivation to introduce such structures a algebraic was problem in It turned out later that some of them dendriform algebraic K-theory. (the related are to in the of ren- dialgebras) closely Hopf algebras occuring theory malization of A. Connes and D. Kreimer. are also related to the They closely notion of Gerstenhaber homotopy algebra. Let us first describe the motivation from The algebraic K-theory. al- braic of a are not like...