Standard

Universal enveloping associative Rota–Baxter algebras of preassociative and postassociative algebra. / Gubarev, V.

In: Journal of Algebra, Vol. 516, 15.12.2018, p. 298-328.

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

Harvard

Gubarev, V 2018, 'Universal enveloping associative Rota–Baxter algebras of preassociative and postassociative algebra', Journal of Algebra, vol. 516, pp. 298-328. https://doi.org/10.1016/j.jalgebra.2018.09.017

APA

Gubarev, V. (2018). Universal enveloping associative Rota–Baxter algebras of preassociative and postassociative algebra. Journal of Algebra, 516, 298-328. https://doi.org/10.1016/j.jalgebra.2018.09.017

Vancouver

Gubarev V. Universal enveloping associative Rota–Baxter algebras of preassociative and postassociative algebra. Journal of Algebra. 2018 Dec 15;516:298-328. doi: 10.1016/j.jalgebra.2018.09.017

Author

Gubarev, V. / Universal enveloping associative Rota–Baxter algebras of preassociative and postassociative algebra. In: Journal of Algebra. 2018 ; Vol. 516. pp. 298-328.

BibTeX

@article{00d9e077f94e4d7e8acf521b83a74f6d,
title = "Universal enveloping associative Rota–Baxter algebras of preassociative and postassociative algebra",
abstract = "Universal enveloping Rota–Baxter algebras of preassociative and postassociative algebras are constructed. The question of Li Guo is answered: the pair of varieties (RBλAs,postAs) is a PBW-pair and the pair (RBAs,preAs) is not.",
keywords = "PBW-pair of varieties, Postassociative algebra, Preassociative algebra, Rota–Baxter algebra, Universal enveloping algebra, OPERADS, QUANTUM-FIELD THEORY, Rota-Baxter algebra, COHOMOLOGY, TREES, RING, DENDRIFORM ALGEBRAS, RENORMALIZATION",
author = "V. Gubarev",
note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",
year = "2018",
month = dec,
day = "15",
doi = "10.1016/j.jalgebra.2018.09.017",
language = "English",
volume = "516",
pages = "298--328",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Universal enveloping associative Rota–Baxter algebras of preassociative and postassociative algebra

AU - Gubarev, V.

N1 - Publisher Copyright: © 2018 Elsevier Inc.

PY - 2018/12/15

Y1 - 2018/12/15

N2 - Universal enveloping Rota–Baxter algebras of preassociative and postassociative algebras are constructed. The question of Li Guo is answered: the pair of varieties (RBλAs,postAs) is a PBW-pair and the pair (RBAs,preAs) is not.

AB - Universal enveloping Rota–Baxter algebras of preassociative and postassociative algebras are constructed. The question of Li Guo is answered: the pair of varieties (RBλAs,postAs) is a PBW-pair and the pair (RBAs,preAs) is not.

KW - PBW-pair of varieties

KW - Postassociative algebra

KW - Preassociative algebra

KW - Rota–Baxter algebra

KW - Universal enveloping algebra

KW - OPERADS

KW - QUANTUM-FIELD THEORY

KW - Rota-Baxter algebra

KW - COHOMOLOGY

KW - TREES

KW - RING

KW - DENDRIFORM ALGEBRAS

KW - RENORMALIZATION

UR - http://www.scopus.com/inward/record.url?scp=85053934684&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2018.09.017

DO - 10.1016/j.jalgebra.2018.09.017

M3 - Article

AN - SCOPUS:85053934684

VL - 516

SP - 298

EP - 328

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 16757577