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Algebra i logika, 2010, Volume 49, Number 1, Pages 98–134 (Mi al430)  
This article is cited in 7 scientific papers (total in 7 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
Full-text PDF (358 kB) Citations (7)
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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.
Received: 14.09.2009
English version:
Algebra and Logic, 2010, Volume 49, Issue 1, Pages 68–90
DOI: https://doi.org/10.1007/s10469-010-9079-4
Bibliographic databases:
Document Type: Article
UDC: 510.5+510.67
Language: Russian
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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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:420
    Full-text PDF :98
    References:55
    First page:3
     
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