@article{a75c4ee603cc4f64b653731b31cd2660,
title = "Universal enveloping commutative rota–baxter algebras of pre-and post-commutative algebras",
abstract = "Universal enveloping commutative Rota–Baxter algebras of pre-and post-commutative algebras are constructed. The pair of varieties (RBλCom, postCom) is proved to be a Poincar{\'e}–Birkhoff–Witt-pair (PBW)-pair and the pair (RBCom, preCom) is proven not to be.",
keywords = "Dendriform algebra, PBW-pair of varieties, Post-commutative algebra, Pre-commutative algebra, Rota–Baxter algebra, Universal enveloping algebra, Zinbiel algebra",
author = "Vsevolod Gubarev",
note = "Publisher Copyright: {\textcopyright} 2017 by the author. Licensee MDPI, Basel, Switzerland. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2017",
doi = "10.3390/axioms6040033",
language = "English",
volume = "6",
journal = "Axioms",
issn = "2075-1680",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "4",
}