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20022005
most citedInfinitesimal bialgebras, pre-Lie and dendriform algebras

45 citations · 52 across the 4 of their papers we have counts for

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math.QA2003

Quadri-algebras

Marcelo Aguiar, Jean-Louis Loday

We introduce the notion of quadri-algebras. These are associative algebras for which the multiplication can be decomposed as the sum of four operations in a certain coherent manner…

math.QA2002★ 45 cited

Infinitesimal bialgebras, pre-Lie and dendriform algebras

Marcelo Aguiar

We introduce the categories of infinitesimal Hopf modules and bimodules over an infinitesimal bialgebra. We show that they correspond to modules and bimodules over the infinitesima…