O-operators on Associative Algebras and Associative Yang-baxter Equations
نویسندگان
چکیده
We introduce the concept of an extended O-operator that generalizes the wellknown concept of a Rota-Baxter operator. We study the associative products coming from these operators and establish the relationship between extended O-operators and the associative Yang-Baxter equation, extended associative Yang-Baxter equation and generalized Yang-Baxter equation.
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