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

в: Journal of Algebra, Том 516, 15.12.2018, стр. 298-328.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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

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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