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math.RA2010★ 5 cited
O-operators on associative algebras and dendriform algebras
Chengming Bai, Li Guo, Xiang Ni
An O-operator is a relative version of a Rota-Baxter operator and, in the Lie algebra context, is originated from the operator form of the classical Yang-Baxter equation. We genera…
math.RA2009★ 5 cited
-operators on associative algebras and associative Yang-Baxter equations
Chengming Bai, Li Guo, Xiang Ni
We introduce the concept of an extended O-operator that generalizes the well-known concept of a Rota-Baxter operator. We study the associative products coming from these operators…