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Algebra Logika, 2010, Volume 49, Number 1, Pages 98–134 (Mi al430)  

This article is cited in 3 scientific papers (total in 3 papers)

Simple structures with complex symmetry

V. Harizanova, R. Millerbc, A. S. Morozovd

a Dep. Math., George Washington Univ.,Washington, DC, USA
b Ph.D. Prog. Math. and Comp. Sci., C.U.N.Y. Graduate Center, New York, USA
c Dep. Math. Queens College – C.U.N.Y., New York, USA
d Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: We define the automorphism spectrum of a computable structure $\mathcal M$, a complexity measure of the symmetries of $\mathcal M$, and prove that certain sets of Turing degrees can be realized as automorphism spectra, while certain others cannot.

Keywords: complexity measure of symmetries of computable structure, automorphism spectrum.

Full text: PDF file (358 kB)
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English version:
Algebra and Logic, 2010, 49:1, 68–90

Bibliographic databases:

Document Type: Article
UDC: 510.5+510.67
Received: 14.09.2009

Citation: V. Harizanov, R. Miller, A. S. Morozov, “Simple structures with complex symmetry”, Algebra Logika, 49:1 (2010), 98–134; Algebra and Logic, 49:1 (2010), 68–90

Citation in format AMSBIB
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\paper Simple structures with complex symmetry
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\pages 98--134
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\jour Algebra and Logic
\yr 2010
\vol 49
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\pages 68--90
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    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
    2. N. T. Kogabaev, “The theory of projective planes is complete with respect to degree spectra and effective dimensions”, Algebra and Logic, 54:5 (2015), 387–407  mathnet  crossref  crossref  mathscinet  isi
    3. N. Kh. Kasymov, A. S. Morozov, “Definability of linear orders over negative equivalences”, Algebra and Logic, 55:1 (2016), 24–37  mathnet  crossref  crossref  isi  elib
  • Алгебра и логика Algebra and Logic
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