Universal enveloping commutative Rota-Baxter algebras of precommutative and postcommutative algebras
classification
🧮 math.RA
keywords
algebrascommutativerota-baxterpostcommutativeenvelopingpairprecommutativeuniversal
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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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