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

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

2009-10-17

arxiv.org/abs/0910.3261v1

Mathematics

Rings and Algebras

28 pages

Scientific paper

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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