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arXiv · 1710.01165

Universal enveloping commutative Rota-Baxter algebras of precommutative and postcommutative algebras

Vsevolod Gubarev
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Abstract

Universal enveloping commutative Rota-Baxter algebras of pre- and postcommutative algebras are constructed. We prove that the pair of varieties (commutative Rota-Baxter algebras of nonzero weight,postcommutative algebras) is a PBW-pair and the pair (commutative Rota-Baxter algebras of zero weight,precommutative algebras) is not.

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Vsevolod Gubarev. 2017-10-02. Universal enveloping commutative Rota-Baxter algebras of precommutative and postcommutative algebras. https://doi.org/10.3390/axioms6040033

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