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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 580–587
DOI: https://doi.org/10.33048/semi.2023.20.033 (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
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DOI: https://doi.org/10.33048/semi.2023.20.033
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0003
Received September 30, 2022, published July 21, 2023
Document Type: Article
UDC: 510.67, 519.174
MSC: 03C05, 05C75
Language: Russian
Citation: I. M. Buchinskiy, A. V. Treyer, “On graphs that are not equationally Noetherian”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 580–587
Citation in format AMSBIB
\Bibitem{BucTre23}
\by I.~M.~Buchinskiy, A.~V.~Treyer
\paper On graphs that are not equationally Noetherian
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 2
\pages 580--587
\mathnet{http://mi.mathnet.ru/semr1596}
\crossref{https://doi.org/10.33048/semi.2023.20.033}
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