Automorphisms of finitely generated free metabelian Novikov algebras-Reference-Cited by-同舟云学术

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Automorphisms of finitely generated free metabelian Novikov algebras

Published:2024-08-31 Issue: Volume: Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Bokut Leonid A.¹²,Chen Yuqun³,Zhang Zerui³^ORCID

Affiliation:

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

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 Gröbner–Shirshov basis.

Funder

RAS Fundamental Research Program

NNSF of China

Guangdong Basic and Applied Basic Research Foundation

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498825503700

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