http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
1 online resource (133 pages) : illustrations.
The main object of study of these four papers is the notion of associative dialgebras which are algebras equipped with two associative operations satisfying some more relations of the associative type. This notion is studied from a) the homological point of view: construction of the (co)homology theory with trivial coefficients and general coefficients, b) the operadic point of view: determination of the dual operad, that is the dendriform dialgebras which are strongly related with the planar binary trees, c) the algebraic point of view: Hopf structure and Milnor-Moore type theorem.
Dialgebras / Jean-Louis Loday -- Dialgebra (co)homology with coefficients / Alessandra Frabetti -- Un endofoncteur de la catégorie des opérades / Frédéric Chapoton -- Un théorème de Milnor-Moore pour les algèbres de Leibniz / François Goichot.
Lecture notes in mathematics (Springer-Verlag) ; 1763