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Prikladnaya Diskretnaya Matematika, 2022, Number 58, Pages 31–39
DOI: https://doi.org/10.17223/20710410/58/4 (Mi pdm783) 		 
Theoretical Backgrounds of Applied Discrete Mathematics

Direct powers of algebraic structures and equations

A. Shevlyakovab

a Sobolev Institute of Mathematics SB RAS, Omsk, Russia
b Dostoevsky Omsk State University, Omsk, Russia
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DOI: https://doi.org/10.17223/20710410/58/4
Abstract: We study systems of equations over graphs, posets and matroids. We give the criteria when a direct power of such algebraic structures is equationally Noetherian. Moreover, we prove that any direct power of any finite algebraic structure is weakly equationally Noetherian.
Keywords: graphs, matroids, finite algebraic structures, direct powers, equationally Noetherian algebraic structures.
Funding agency Grant number
Russian Science Foundation 22-21-00745
The author was supported by the RSF-grant no. 22-21-00745.
Bibliographic databases:
Document Type: Article
UDC: 512.53
Language: English
Citation: A. Shevlyakov, “Direct powers of algebraic structures and equations”, Prikl. Diskr. Mat., 2022, no. 58, 31–39
Citation in format AMSBIB
\Bibitem{She22}
\by A.~Shevlyakov
\paper Direct powers of algebraic structures and equations
\jour Prikl. Diskr. Mat.
\yr 2022
\issue 58
\pages 31--39
\mathnet{http://mi.mathnet.ru/pdm783}
\crossref{https://doi.org/10.17223/20710410/58/4}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4542116}
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    		Прикладная дискретная математика
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