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Algebra i logika, 2005, Volume 44, Number 3, Pages 261–268 (Mi al110)  
This article is cited in 15 scientific papers (total in 15 papers)

Elementary Theories for Rogers Semilattices

S. A. Badaeva, S. S. Goncharovb, A. Sorbic

a Al-Farabi Kazakh National University, Faculty of Mechanics and Mathematics
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
c Dipartimento di Scienze Matematiche ed Informatiche Roberto Magari, Università degli Studi di Sienna
Full-text PDF (158 kB) Citations (15)
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Abstract: It is proved that for every level of the arithmetic hierarchy, there exist infinitely many families of sets with pairwise non-elementarily equivalent Rogers semilattices.
Keywords: arithmetic hierarchy, Rogers semilattice, elementary theory.
Received: 25.02.2003
Revised: 12.07.2004
English version:
Algebra and Logic, 2006, Volume 44, Issue 3, Pages 143–147
DOI: https://doi.org/10.1007/s10469-005-0016-x
Bibliographic databases:
UDC: 510.55
Language: Russian
Citation: S. A. Badaev, S. S. Goncharov, A. Sorbi, “Elementary Theories for Rogers Semilattices”, Algebra Logika, 44:3 (2005), 261–268; Algebra and Logic, 44:3 (2006), 143–147
Citation in format AMSBIB
\Bibitem{BadGonSor05}
\by S.~A.~Badaev, S.~S.~Goncharov, A.~Sorbi
\paper Elementary Theories for Rogers Semilattices
\jour Algebra Logika
\yr 2005
\vol 44
\issue 3
\pages 261--268
\mathnet{http://mi.mathnet.ru/al110}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2170687}
\zmath{https://zbmath.org/?q=an:1106.03041}
\transl
\jour Algebra and Logic
\yr 2006
\vol 44
\issue 3
\pages 143--147
\crossref{https://doi.org/10.1007/s10469-005-0016-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-22344448658}
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    • This publication is cited in the following 15 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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