Universal Enveloping Commutative Rota–Baxter Algebras of Pre- and Post-Commutative Algebras

Universal Enveloping Commutative Rota–Baxter Algebras of Pre- and Post-Commutative Algebras

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 Poincaré–Birkhoff–Witt-pair (PBW)-pair and the pair (RBCom, preCom) is proven not to be.

Bibliographic Details
Main Author: Vsevolod Gubarev
Format: Article
Language:English
Published: MDPI AG 2017-12-01
Series:Axioms
Subjects:
Rota–Baxter algebra
universal enveloping algebra
PBW-pair of varieties
Zinbiel algebra
dendriform algebra
pre-commutative algebra
post-commutative algebra
Online Access:https://www.mdpi.com/2075-1680/6/4/33

Internet

https://www.mdpi.com/2075-1680/6/4/33

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