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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1296–1309 (Mi smj1919)  
This article is cited in 7 scientific papers (total in 7 papers)

Restrictions on the degree spectra of algebraic structures

I. Sh. Kalimullin

Kazan State University, Faculty of Mechanics and Mathematics
Full-text PDF (370 kB) Citations (7)
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Abstract: We construct the degree $\mathbf b\le\mathbf 0''$ admitting no algebraic structure with degree spectrum $\{\mathbf x\colon\mathbf x\nleq\mathbf b\}$. Moreover, we solve Miller's problem of distinguishing incomparable degrees by the spectra of linear orderings.
Keywords: computable algebraic structure, computably enumerable set, Turing degree, relative computability.
Received: 15.05.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 6, Pages 1034–1043
DOI: https://doi.org/10.1007/s11202-008-0099-4
Bibliographic databases:
UDC: 510.53
Language: Russian
Citation: I. Sh. Kalimullin, “Restrictions on the degree spectra of algebraic structures”, Sibirsk. Mat. Zh., 49:6 (2008), 1296–1309; Siberian Math. J., 49:6 (2008), 1034–1043
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
    		Сибирский математический журнал Siberian Mathematical Journal
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