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Some new results on Gröbner-Shirshov bases for Lie algebras and around. / Bokut, L. A.; Chen, Yuqun; Obul, Abdukadir.

In: International Journal of Algebra and Computation, Vol. 28, No. 8, 01.12.2018, p. 1403-1423.

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

Harvard

Bokut, LA, Chen, Y & Obul, A 2018, 'Some new results on Gröbner-Shirshov bases for Lie algebras and around', International Journal of Algebra and Computation, vol. 28, no. 8, pp. 1403-1423. https://doi.org/10.1142/S0218196718400027

APA

Bokut, L. A., Chen, Y., & Obul, A. (2018). Some new results on Gröbner-Shirshov bases for Lie algebras and around. International Journal of Algebra and Computation, 28(8), 1403-1423. https://doi.org/10.1142/S0218196718400027

Vancouver

Bokut LA, Chen Y, Obul A. Some new results on Gröbner-Shirshov bases for Lie algebras and around. International Journal of Algebra and Computation. 2018 Dec 1;28(8):1403-1423. doi: 10.1142/S0218196718400027

Author

Bokut, L. A. ; Chen, Yuqun ; Obul, Abdukadir. / Some new results on Gröbner-Shirshov bases for Lie algebras and around. In: International Journal of Algebra and Computation. 2018 ; Vol. 28, No. 8. pp. 1403-1423.

BibTeX

@article{a74f17bc45ed49929f88f4b9194222ce,
title = "Some new results on Gr{\"o}bner-Shirshov bases for Lie algebras and around",
abstract = "We review Gr{\"o}bner-Shirshov bases for Lie algebras and survey some new results on Gr{\"o}bner-Shirshov bases for ω-Lie algebras, Gelfand-Dorfman-Novikov algebras, Leibniz algebras, etc. Some applications are given, in particular, some characterizations of extensions of groups, associative algebras and Lie algebras are given.",
keywords = "extension, Gelfand-Dorfman-Novikov algebra, Gr{\"o}bner-Shirshov basis, Leibniz algebra, Lie algebra, ω -algebra, Omega-algebra, Grobner-Shirshov basis",
author = "Bokut, {L. A.} and Yuqun Chen and Abdukadir Obul",
year = "2018",
month = dec,
day = "1",
doi = "10.1142/S0218196718400027",
language = "English",
volume = "28",
pages = "1403--1423",
journal = "International Journal of Algebra and Computation",
issn = "0218-1967",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "8",

}

RIS

TY - JOUR

T1 - Some new results on Gröbner-Shirshov bases for Lie algebras and around

AU - Bokut, L. A.

AU - Chen, Yuqun

AU - Obul, Abdukadir

PY - 2018/12/1

Y1 - 2018/12/1

N2 - We review Gröbner-Shirshov bases for Lie algebras and survey some new results on Gröbner-Shirshov bases for ω-Lie algebras, Gelfand-Dorfman-Novikov algebras, Leibniz algebras, etc. Some applications are given, in particular, some characterizations of extensions of groups, associative algebras and Lie algebras are given.

AB - We review Gröbner-Shirshov bases for Lie algebras and survey some new results on Gröbner-Shirshov bases for ω-Lie algebras, Gelfand-Dorfman-Novikov algebras, Leibniz algebras, etc. Some applications are given, in particular, some characterizations of extensions of groups, associative algebras and Lie algebras are given.

KW - extension

KW - Gelfand-Dorfman-Novikov algebra

KW - Gröbner-Shirshov basis

KW - Leibniz algebra

KW - Lie algebra

KW - ω -algebra

KW - Omega-algebra

KW - Grobner-Shirshov basis

UR - http://www.scopus.com/inward/record.url?scp=85052633494&partnerID=8YFLogxK

U2 - 10.1142/S0218196718400027

DO - 10.1142/S0218196718400027

M3 - Article

AN - SCOPUS:85052633494

VL - 28

SP - 1403

EP - 1423

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 8

ER -

ID: 16336294