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In analogy with a recent result of N. Kowalzig and U. Krähmer for twisted Calabi–Yau algebras, we show that the Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin–Vilkovisky algebra, thus generalizing a result of T. Tradler for finite dimensional symmetric algebras. We give a criterion to determine when a Frobenius algebra given by quiver with relations...
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