Sets with two associative operations

DOI10.2478/BF02476006zbMath1032.16032arXivmath/0301248MaRDI QIDQ1407182

Teimouraz Pirashvili

Publication date: 6 January 2004

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301248

zbMATH Keywords

permutationsfree algebrasdimonoidsplanar treesfree duplexes

Mathematics Subject Classification ID

Related Items (26)

Free products of doppelsemigroups ⋮ Free left \(n\)-dinilpotent dimonoids ⋮ Free dendriform algebras. I: A parenthesis setting ⋮ Unnamed Item ⋮ Free \(n\)-tuple semigroups ⋮ Categorical, homological, and homotopical properties of algebraic objects ⋮ Structure of relatively free n-tuple semigroups ⋮ Cliff operads: a hierarchy of operads on words ⋮ Unnamed Item ⋮ Structure of relatively free dimonoids ⋮ Free rectangular doppelsemigroups ⋮ Cofree Hopf algebras. ⋮ Shuffle bialgebras. ⋮ Structure of free strong doppelsemigroups ⋮ Groups of tree-expanded series. ⋮ On the structure of cofree Hopf algebras ⋮ Automorphisms of the endomorphism semigroup of a free commutative dimonoid ⋮ Unnamed Item ⋮ Some semilattice decompositions of dimonoids ⋮ Unnamed Item ⋮ Noncommutative Leibniz–Poisson Algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Relatively free dimonoids and bar-units ⋮ Algebras with bracket ⋮ ASSOCIATED (SEMI)HYPERGROUPS FROM DUPLEXES

Cites Work

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• Structure of the Malvenuto-Reutenauer Hopf algebra of permutations
• Order structure on the algebra of permutations and of planar binary trees
• Arithmetree.

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