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$A$-Generalized Hessian pre-Lie algebras and $A$-Generalized Yang--Baxter Equations
Inspired by the problem of constructing ($ω$-)pre-Lie algebra structures on the dual space of a pre-Lie algebra, we introduce the \(A\)-generalized Yang--Baxter equation as a generalization of the Yang--Baxter equation of pre-Lie algebras. We study its symmetric solutions through \(A\)-generalized H
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