Universal enveloping commutative Rota-Baxter algebras of pre- and post-commutative algebras (Q2275143)
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| Language | Label | Description | Also known as |
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| English | Universal enveloping commutative Rota-Baxter algebras of pre- and post-commutative algebras |
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Universal enveloping commutative Rota-Baxter algebras of pre- and post-commutative algebras (English)
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2 October 2019
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Summary: Universal enveloping commutative Rota-Baxter algebras of pre- and post-commutative algebras are constructed. The pair of varieties (RB\(_\lambda\)Com, postCom) is proved to be a Poincaré-Birkhoff-Witt-pair (PBW)-pair and the pair (RBCom, preCom) is proven not to be.
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Rota-Baxter algebra
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universal enveloping algebra
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PBW-pair of varieties
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Zinbiel algebra
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dendriform algebra
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pre-commutative algebra
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post-commutative algebra
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