(Co)associative 3-ary (co)algebras and infinitesimal bialgebras:\n construction and main properties

2016/08/29 by Mahouton Norbert Hounkonnou, Hounkonnou, Mahouton Norbert, Gbêvèwou Damien Houndédji +1
Computer Science · Mathematics · #05C25 #16S99 #16T25 #16Z05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1608.07964

openalex publication_date 2016/08/29 · openalex created_date 2022/08/28 · openalex updated_date 2026/07/28

Abstract

The (co)associative, partially (co)associative and totally (co)associative\n3-ary (co) algebras and infinitesimal bialgebras are constructed and\ndiscussed. Their trimodules and matched pairs are defined and completely\ncharacterized. The main structural properties and relations are also deduced\nand analyzed.\n

Citations

• On the Associative Analog of Lie Bialgebras
• Koszul duality for operads

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