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Prikl. Diskr. Mat., 2011, Number 1(11), Pages 14–25 (Mi pdm264)  

This article is cited in 1 scientific paper (total in 1 paper)

Theoretical Foundations of Applied Discrete Mathematics

Conditions for maximality of subclones

N. G. Parvatov

Tomsk State University, Tomsk, Russia

Abstract: The following problem is considered here: is a subclone of a clone maximal or not? To solve the problem, $\wedge$-descriptions and extended $\wedge$-descriptions being sets of predicates are proposed for characterizing subclones. Necessary and sufficient conditions are stated for extended $\wedge$-descriptions to characterize the maximal subclone.

Keywords: clon, subclon, precompletely subclon, maximum subclon, completeness problem.

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UDC: 519.7

Citation: N. G. Parvatov, “Conditions for maximality of subclones”, Prikl. Diskr. Mat., 2011, no. 1(11), 14–25

Citation in format AMSBIB
\Bibitem{Par11}
\by N.~G.~Parvatov
\paper Conditions for maximality of subclones
\jour Prikl. Diskr. Mat.
\yr 2011
\issue 1(11)
\pages 14--25
\mathnet{http://mi.mathnet.ru/pdm264}


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  • http://mi.mathnet.ru/eng/pdm/y2011/i1/p14

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. N. G. Parvatov, “Slabotsentralnye klony i problema polnoty v nikh”, PDM, 2011, prilozhenie № 4, 14–16  mathnet
  • Прикладная дискретная математика
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