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We introduce natural binary set-theoretical products on the set of all $m$-Dyck paths, which led us to define a non-symmetric algebraic operad $\Dy^m$, described on the vector space spanned by $m$-Dyck paths. Our construction is closely related to th
Externí odkaz:
http://arxiv.org/abs/1508.01252
Publikováno v:
Journal of Pure and Applied Algebra. 224:106222
We introduce a simplicial object ( { Dyck m } m ≥ 0 , F i , S j ) in the category of non-symmetric algebraic operads, satisfying that Dyck 0 is the operad of associative algebras and Dyck 1 is J.-L. Loday’s operad of dendriform algebras. The dime