RUS  ENG
Full version
JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2023 Volume 20, Issue 2, Pages 580–587 (Mi semr1596)
Mathematical logic, algebra and number theory

On graphs that are not equationally Noetherian

I. M. Buchinskiy, A. V. Treyer

Omsk branch of Sobolev Institute of Mathematics, Pevtsova street, 13, 644043, Omsk, Russia

Abstract: The goal of the paper is to describe all equationally noetherian graphs in terms of forbidden subgraphs for the categories of simple graphs and graphs with loops.

Keywords: simple graphs, graphs with loops, graph groups, equationally noetherian, one variable equations.

UDC: 510.67, 519.174

MSC: 03C05, 05C75

Received September 30, 2022, published July 21, 2023

DOI: 10.33048/semi.2023.20.033


© Steklov Math. Inst. of RAS, 2025