2005/02/15 by Michel Goze, Goze, Michel, Elisabeth Remm +1
Mathematics · #17Axx 17Bxx #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #math.RA #msc:17Axx #msc:17Bxx
paper · pdf · doi:10.48550/arxiv.math/0502318
6 pages
arxiv created 2005/02/15 · openalex publication_date 2005/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present coalgebras of some classes of nonassociative algebras whose associator satisfies invariance conditions given by the action of the 3-order symmetric group. Amongst these algebras we find the well-known Vinberg algebras, the Pre-Lie algebras, the Lie-admissible algebras and the 3-power associative algebras. We study properties between these coalgebras and algebras which generalize the associative case.