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arxiv: 1101.0435 · v1 · pith:WPJ3GHJJnew · submitted 2011-01-02 · 🧮 math.RA · math-ph· math.MP

Hom-dendriform algebras and Rota-Baxter Hom-algebras

classification 🧮 math.RA math-phmath.MP
keywords algebrashom-algebrasintroducerota-baxtercategoriesconnectionsdendriformexplore
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The aim of this paper is to introduce and study Rota-Baxter Hom-algebras. Moreover we introduce a generalization of the dendriform algebras and tridendriform algebras by twisting the identities by mean of a linear map. Then we explore the connections between these categories of Hom-algebras.

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