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- catalog abstract "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.".
- catalog contributor b12234342.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description "Includes bibliographical references.".
- catalog description "J.-L. Loday: Dialgebras -- A. Frabetti: Dialgebras (co)homology with coefficients -- F. Chapoton: Un endofoncteur de la catégorie des opérades -- F. Goichot: Une théorie de Milnor-Moore pour les algèbres de Leibniz.".
- catalog description "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.".
- catalog extent "133 p. :".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540421947 (pbk. : acid-free paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1763.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1763".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "English and French.".
- catalog language "eng".
- catalog language "engfre".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 512/.55 21".
- catalog subject "Algebra, Homological.".
- catalog subject "Algebraic topology.".
- catalog subject "K-theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1763 QA169".
- catalog tableOfContents "J.-L. Loday: Dialgebras -- A. Frabetti: Dialgebras (co)homology with coefficients -- F. Chapoton: Un endofoncteur de la catégorie des opérades -- F. Goichot: Une théorie de Milnor-Moore pour les algèbres de Leibniz.".
- catalog title "Dialgebras and related operads / J.-L. Loday ... [et al.].".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".