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Algebra Logika, 2004, Volume 43, Number 2, Pages 170–183 (Mi al62)  
This article is cited in 1 scientific paper (total in 1 paper)

Relatively Hyperimmune Relations on Structures

S. S. Goncharova, Ch. F. McCoyb, J. F. Knightc, V. S. Harizanovad

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b University of Wisconsin-Madison
c University of Notre Dame
d George Washington University

Abstract: Let $\mathcal{A}$ be a computable structure and let $R$ be an additional relation on its domain. We establish a necessary and sufficient condition for the existence of an isomorphic copy $\mathcal{B}$ of $\mathcal{A}$ such that the image of $R$ ($\lnot R$) is $h$-simple ($h$-immune) relative to $\mathcal{B}$.

Keywords: computable structure, relatively hyperimmune relation, relatively hypersimple relation

Full text: PDF file (198 kB)
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English version:
Algebra and Logic, 2004, 43:2, 94–101

Bibliographic databases:

UDC: 510.53
Received: 23.04.2002

Citation: S. S. Goncharov, Ch. F. McCoy, J. F. Knight, V. S. Harizanova, “Relatively Hyperimmune Relations on Structures”, Algebra Logika, 43:2 (2004), 170–183; Algebra and Logic, 43:2 (2004), 94–101

Citation in format AMSBIB
\Bibitem{GonMccKni04}
\by S.~S.~Goncharov, Ch.~F.~McCoy, J.~F.~Knight, V.~S.~Harizanova
\paper Relatively Hyperimmune Relations on Structures
\jour Algebra Logika
\yr 2004
\vol 43
\issue 2
\pages 170--183
\mathnet{http://mi.mathnet.ru/al62}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2072569}
\zmath{https://zbmath.org/?q=an:1115.03048}
\transl
\jour Algebra and Logic
\yr 2004
\vol 43
\issue 2
\pages 94--101
\crossref{https://doi.org/10.1023/B:ALLO.0000020846.55332.2f}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42349105528}


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    This publication is cited in the following articles:
    1. Fokina E.B. Harizanov V. Melnikov A., “Computable Model Theory”, Turing'S Legacy: Developments From Turing'S Ideas in Logic, Lecture Notes in Logic, 42, ed. Downey R., Cambridge Univ Press, 2014, 124–194  mathscinet  isi
    		• Алгебра и логика Algebra and Logic
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