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Universal enveloping Rota-Baxter algebras of preassociative and postassociative algebras
Published 1 Aug 2017 in math.RA | (1708.00168v1)
Abstract: Universal enveloping Rota-Baxter algebras of preassociative and postassociative algebras are constructed. The question of Li Guo is answered: the pair of varieties (Rota-Baxter algebras of nonzero weight,postassociative algebras) is a PBW-pair and the pair (Rota-Baxter algebras of zero weight,preassociative algebras) is not.
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