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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2013, Volume 4, Issue 4, Pages 109–144
DOI: https://doi.org/10.4213/mvk102 (Mi mvk102) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Systems of equations and lattices of congruences of universal algebras

S. V. Polin

Academy of Cryptography of the Russian Federation, Moscow
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DOI: https://doi.org/10.4213/mvk102
Abstract: We investigate the dependence of properties of systems of equations over the universal algebras on the properties of lattices of congruences of these algebras. Our main result is the description of conditions on the lattice of congruences under which it is possible to construct a Gauss-like algorithm of solution of systems of equations.
Key words: systems of equations, geometric lattices, Gauss algorithm.
Received 11.IV.2012
Document Type: Article
UDC: 512.57
Language: Russian
Citation: S. V. Polin, “Systems of equations and lattices of congruences of universal algebras”, Mat. Vopr. Kriptogr., 4:4 (2013), 109–144
Citation in format AMSBIB
\Bibitem{Pol13}
\by S.~V.~Polin
\paper Systems of equations and lattices of congruences of universal algebras
\jour Mat. Vopr. Kriptogr.
\yr 2013
\vol 4
\issue 4
\pages 109--144
\mathnet{http://mi.mathnet.ru/mvk102}
\crossref{https://doi.org/10.4213/mvk102}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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