182 citations · 433 across the 14 of their papers we have counts for
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math.QA2013★ 7 cited
Replicating of binary operads, Koszul duality, Manin products and average operators
Jun Pei, Chengming Bai, Li Guo +1
We consider the notions of the replicators, including the duplicator and triplicator, of a binary operad. As in the closely related notions of di-Var-algebra and tri-Var-algebra in…
math.QA2011★ 182 cited
Splitting of operations, Manin products and Rota-Baxter operators
Chengming Bai, Olivia Bellier, Li Guo +1
This paper provides a general operadic definition for the notion of splitting the operations of algebraic structures. This construction is proved to be equivalent to some Manin pro…