Standard

Universal enveloping commutative rota–baxter algebras of pre-and post-commutative algebras. / Gubarev, Vsevolod.

In: Axioms, Vol. 6, No. 4, 33, 2017.

Research output: Contribution to journal › Article › peer-review

Harvard

Gubarev, V 2017, 'Universal enveloping commutative rota–baxter algebras of pre-and post-commutative algebras', Axioms, vol. 6, no. 4, 33. https://doi.org/10.3390/axioms6040033

APA

Gubarev, V. (2017). Universal enveloping commutative rota–baxter algebras of pre-and post-commutative algebras. Axioms, 6(4), [33]. https://doi.org/10.3390/axioms6040033

Vancouver

Gubarev V. Universal enveloping commutative rota–baxter algebras of pre-and post-commutative algebras. Axioms. 2017;6(4):33. doi: 10.3390/axioms6040033

Author

Gubarev, Vsevolod. / Universal enveloping commutative rota–baxter algebras of pre-and post-commutative algebras. In: Axioms. 2017 ; Vol. 6, No. 4.

BibTeX

@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",

}

RIS

TY - JOUR

T1 - Universal enveloping commutative rota–baxter algebras of pre-and post-commutative algebras

AU - Gubarev, Vsevolod

N1 - Publisher Copyright: © 2017 by the author. Licensee MDPI, Basel, Switzerland. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Dendriform algebra

KW - PBW-pair of varieties

KW - Post-commutative algebra

KW - Pre-commutative algebra

KW - Rota–Baxter algebra

KW - Universal enveloping algebra

KW - Zinbiel algebra

UR - http://www.scopus.com/inward/record.url?scp=85090641795&partnerID=8YFLogxK

U2 - 10.3390/axioms6040033

DO - 10.3390/axioms6040033

M3 - Article

AN - SCOPUS:85090641795

VL - 6

JO - Axioms

JF - Axioms

SN - 2075-1680

IS - 4

M1 - 33

ER -

ID: 29233351