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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 698–703
DOI: https://doi.org/10.17377/semi.2015.12.055 (Mi semr618) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

On some of logical closures on universal algebras

A. G. Pinus

Novosibirsk State Technical University, pr. K. Marxa, 20, 630073, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.055
Abstract: B.I. Plotkin has introduced some concepts of logical geometries on universal algebras. Here we study one of the related logical closure operators on sets of elements of an algebra definable by quantifier–free formulas using some quasiorder on the basic set of this algebra.
Keywords: algebraic geometry, universal algebra, closure operator.
Received February 5, 2015, published October 5, 2015
Document Type: Article
UDC: 517.53,517.55
MSC: 32A10,46E15
Language: Russian
Citation: A. G. Pinus, “On some of logical closures on universal algebras”, Sib. Èlektron. Mat. Izv., 12 (2015), 698–703
Citation in format AMSBIB
\Bibitem{Pin15}
\by A.~G.~Pinus
\paper On some of logical closures on universal algebras
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 698--703
\mathnet{http://mi.mathnet.ru/semr618}
\crossref{https://doi.org/10.17377/semi.2015.12.055}
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