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Automorphisms of finitely generated free metabelian Novikov algebras. / Bokut, Leonid A.; Chen, Yuqun; Zhang, Zerui.

In: Journal of Algebra and its Applications, 08.09.2024.

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

Harvard

Bokut, LA, Chen, Y & Zhang, Z 2024, 'Automorphisms of finitely generated free metabelian Novikov algebras', Journal of Algebra and its Applications. https://doi.org/10.1142/S0219498825503700

APA

Bokut, L. A., Chen, Y., & Zhang, Z. (2024). Automorphisms of finitely generated free metabelian Novikov algebras. Journal of Algebra and its Applications, [2550370]. https://doi.org/10.1142/S0219498825503700

Vancouver

Bokut LA, Chen Y, Zhang Z. Automorphisms of finitely generated free metabelian Novikov algebras. Journal of Algebra and its Applications. 2024 Sept 8;2550370. doi: 10.1142/S0219498825503700

Author

Bokut, Leonid A. ; Chen, Yuqun ; Zhang, Zerui. / Automorphisms of finitely generated free metabelian Novikov algebras. In: Journal of Algebra and its Applications. 2024.

BibTeX

@article{fcaa92ce90eb4085a29999a28043ecce,
title = "Automorphisms of finitely generated free metabelian Novikov algebras",
abstract = "In this paper, we study automorphisms of finitely generated free metabelian Novikov algebras and show that every tame automorphism of a two-generated free right nilpotent Novikov algebra of index 3 is simple reducible. We offer a method on recognizing automorphisms of finitely generated free metabelian Novikov algebras by using the theory of Gr{\"o}bner-Shirshov basis.",
keywords = "Gr{\"o}bner-Shirshov basis, automorphism, metabelian Novikov algebra, word problem",
author = "Bokut, {Leonid A.} and Yuqun Chen and Zerui Zhang",
year = "2024",
month = sep,
day = "8",
doi = "10.1142/S0219498825503700",
language = "English",
journal = "Journal of Algebra and its Applications",
issn = "0219-4988",
publisher = "World Scientific Publishing Co. Pte Ltd",

}

RIS

TY - JOUR

T1 - Automorphisms of finitely generated free metabelian Novikov algebras

AU - Bokut, Leonid A.

AU - Chen, Yuqun

AU - Zhang, Zerui

PY - 2024/9/8

Y1 - 2024/9/8

N2 - In this paper, we study automorphisms of finitely generated free metabelian Novikov algebras and show that every tame automorphism of a two-generated free right nilpotent Novikov algebra of index 3 is simple reducible. We offer a method on recognizing automorphisms of finitely generated free metabelian Novikov algebras by using the theory of Gröbner-Shirshov basis.

AB - In this paper, we study automorphisms of finitely generated free metabelian Novikov algebras and show that every tame automorphism of a two-generated free right nilpotent Novikov algebra of index 3 is simple reducible. We offer a method on recognizing automorphisms of finitely generated free metabelian Novikov algebras by using the theory of Gröbner-Shirshov basis.

KW - Gröbner-Shirshov basis

KW - automorphism

KW - metabelian Novikov algebra

KW - word problem

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85202874503&origin=inward&txGid=ffbb936d8af4de16a78f743ef3d7f47c

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:001303564100001

UR - https://www.mendeley.com/catalogue/36e66136-3e6d-3411-9644-5ab23b7bc6f7/

U2 - 10.1142/S0219498825503700

DO - 10.1142/S0219498825503700

M3 - Article

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

SN - 0219-4988

M1 - 2550370

ER -

ID: 61205797