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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 6, Pages 1265–1270 (Mi smj1367)  
This article is cited in 1 scientific paper (total in 1 paper)

Computably rigid models with enumerable submodels

A. N. Duzykaeva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (158 kB) Citations (1)
Abstract: We consider recursive representations for the set of rational numbers with a distinguished dense and codense subset and for some Boolean algebras with a distinguished subalgebra. We show that the rejection of recursiveness of the distinguished submodel opens up the possibility of constructing models without nontrivial automorphisms. The proof is carried out by the priority method.
Keywords: computable model, computable automorphism, group of computable automorphisms, priority method, Boolean algebra, recursively enumerable set.
Received: 26.11.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 6, Pages 1023–1026
DOI: https://doi.org/10.1023/A:1021161116194
Bibliographic databases:
UDC: 517.15
Language: Russian
Citation: A. N. Duzykaeva, “Computably rigid models with enumerable submodels”, Sibirsk. Mat. Zh., 43:6 (2002), 1265–1270; Siberian Math. J., 43:6 (2002), 1023–1026
Citation in format AMSBIB
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\by A.~N.~Duzykaeva
\paper Computably rigid models with enumerable submodels
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 6
\pages 1265--1270
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946227}
\zmath{https://zbmath.org/?q=an:1029.03022}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 6
\pages 1023--1026
\crossref{https://doi.org/10.1023/A:1021161116194}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180105300004}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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