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UPA Perpustakaan Universitas Jember

Rota–Baxter Operators on Pre-Lie Superalgebras

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In this paper, we study Rota–Baxter operators and super O-operator of associative superalgebras, Lie superalgebras, pre-Lie superalgebras and L-dendriform superalgebras. Then we give some properties of pre-Lie superalgebras constructed from associative superalgebras Lie superalgebras and L-dendriform superalgebras Moreover we provide all Rota–Baxter operators of weight zero on complex pre-Lie superalgebras of dimensions 2 and 3.

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