Automorphisms of finitely generated free metabelian Novikov algebras

Automorphisms of finitely generated free metabelian Novikov algebras Full article

Journal

Journal of Algebra and its Applications
ISSN: 0219-4988

Output data

Year: 2025, Article number : 2550370, Pages count : 25 DOI: 10.1142/s0219498825503700

Tags

Gröbner–Shirshov basis, metabelian Novikov algebra, word problem, automorphism

Authors

Bokut Leonid A. ^1,2 , Chen Yuqun ³ , Zhang Zerui ³

Affiliations

1	Sobolev Institute of Mathematics, Novosibirsk 630090, Russia
2	Novosibirsk State University, Novosibirsk 630090, Russia
3	School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0002

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.

Bokut L.A. , Chen Y. , Zhang Z.
Automorphisms of finitely generated free metabelian Novikov algebras
Journal of Algebra and its Applications. 2025. 2550370 :1-25. DOI: 10.1142/s0219498825503700 WOS Scopus РИНЦ OpenAlex

Submitted:	May 8, 2024
Accepted:	Jul 17, 2024
Published print:	Aug 31, 2024
Published online:	Aug 31, 2024

Web of science:	WOS:001303564100001
Scopus:	2-s2.0-85202874503
Elibrary:	68953708
OpenAlex:	W4400986867

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