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math.RA2016★ 19 cited
Jordan Trialgebras and Post-Jordan Algebras
Fatemeh Bagherzadeh, Murray Bremner, Sara Madariaga
We compute minimal sets of generators for the S_n-modules (n <= 4) of multilinear polynomial identities of arity n satisfied by the Jordan product and the Jordan diproduct (resp. p…
math.RA2016
Self-dual nonsymmetric operads with two binary operations
Murray Bremner, Juana Sánchez-Ortega
We consider nonsymmetric operads with two binary operations satisfying relations in arity 3; hence these operads are quadratic, and so we can investigate Koszul duality. We first c…