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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 3, Pages 523–532 (Mi smj984)  
This article is cited in 7 scientific papers (total in 7 papers)

On automorphic tuples of elements in computable models

S. S. Goncharova, V. S. Harizanovab, J. F. Knightc, A. S. Morozova, A. V. Rominad

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b George Washington University
c University of Notre Dame
d Max Planck Institute for Informatics
Full-text PDF (257 kB) Citations (7)
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Abstract: A criterion is obtained for existence of two isomorphic but not hyperarithmetically isomorphic tuples in a hyperarithmetical model. This criterion is used to show that such a situation occurs in the models of well-known classes.
Keywords: model, computability, computable model, hyperarithmetical model, automorphism, recursive automorphism, admissible sets, recursive model, constructive model, Scott rank, quantifier rank, automorphic tuples.
Received: 10.11.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 3, Pages 405–412
DOI: https://doi.org/10.1007/s11202-005-0043-9
Bibliographic databases:
UDC: 510.8
Language: Russian
Citation: S. S. Goncharov, V. S. Harizanova, J. F. Knight, A. S. Morozov, A. V. Romina, “On automorphic tuples of elements in computable models”, Sibirsk. Mat. Zh., 46:3 (2005), 523–532; Siberian Math. J., 46:3 (2005), 405–412
Citation in format AMSBIB
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\paper On automorphic tuples of elements in computable models
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 3
\pages 523--532
\mathnet{http://mi.mathnet.ru/smj984}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2164557}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 3
\pages 405--412
\crossref{https://doi.org/10.1007/s11202-005-0043-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000229958200004}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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