$O$-operators on associative algebras and associative Yang-Baxter equations

Chengming Bai; Li Guo; Xiang Ni

arxiv: 0910.3261 · v1 · pith:Z73XHGTWnew · submitted 2009-10-17 · 🧮 math.RA · math-ph· math.CT· math.MP· math.QA

O-operators on associative algebras and associative Yang-Baxter equations

Chengming Bai , Li Guo , Xiang Ni This is my paper

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keywords associativeyang-baxterequationextendedconceptoperatorsalgebrascoming

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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 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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O-operators on associative algebras and associative Yang-Baxter equations

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