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

Mahouton Norbert Hounkonnou, Gbêvèwou Damien Houndedji

The (co)associative, partially (co)associative and totally (co)associative $3$-ary (co) algebras and infinitesimal bialgebras are constructed and discussed. Their trimodules and ma…