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arXiv · 0910.3261

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

Chengming Bai·Li Guo·Xiang Ni
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Abstract

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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BibTeXRIS

Chengming Bai, Li Guo, Xiang Ni. 2009-10-17. $O$-operators on associative algebras and associative Yang-Baxter equations. https://arxiv.org/abs/0910.3261

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