Universal enveloping commutative Rota-Baxter algebras of precommutative and postcommutative algebras
Rings and Algebras
2018-01-23 v1
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.
Keywords
Cite
@article{arxiv.1710.01165,
title = {Universal enveloping commutative Rota-Baxter algebras of precommutative and postcommutative algebras},
author = {Vsevolod Gubarev},
journal= {arXiv preprint arXiv:1710.01165},
year = {2018}
}
Comments
17 p. arXiv admin note: text overlap with arXiv:1708.00168