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Let $L$ be a simple anti-commutative algebra. In this paper we prove that anon skew-symmetric solution of the classical Yang-Baxter equation on $L$ with$L$-invariant symmetric part induces on $L$ a Rota-Baxter operator of anon-zero weight.

On Rota-Baxter operators of non-zero weight induced by non  skew-symmetric solutions of the classical Yang-baxter equation on simple  anticommutative algebras