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Algebra i logika, 2001, Volume 40, Number 5, Pages 507–522 (Mi al233)  
This article is cited in 42 scientific papers (total in 42 papers)

Rogers Semilattices of Families of Arithmetic Sets

S. A. Badaeva, S. S. Goncharovb

a Al-Farabi Kazakh National University, Faculty of Mechanics and Mathematics
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (1516 kB) Citations (42)
Abstract: We look into algebraic properties of Rogers semilattices of arithmetic sets, such as the existence of minimal elements, minimal covers, and ideals without minimal elements.
Keywords: Rogers semilattice, arithmetic set, minimal element, minimal cover, and ideal.
Received: 11.10.2000
English version:
Algebra and Logic, 2001, Volume 40, Issue 5, Pages 283–291
DOI: https://doi.org/10.1023/A:1012516217265
Bibliographic databases:
UDC: 510.5
Language: Russian
Citation: S. A. Badaev, S. S. Goncharov, “Rogers Semilattices of Families of Arithmetic Sets”, Algebra Logika, 40:5 (2001), 507–522; Algebra and Logic, 40:5 (2001), 283–291
Citation in format AMSBIB
\Bibitem{BadGon01}
\by S.~A.~Badaev, S.~S.~Goncharov
\paper Rogers Semilattices of Families of Arithmetic Sets
\jour Algebra Logika
\yr 2001
\vol 40
\issue 5
\pages 507--522
\mathnet{http://mi.mathnet.ru/al233}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1917529}
\zmath{https://zbmath.org/?q=an:0989.03040}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 5
\pages 283--291
\crossref{https://doi.org/10.1023/A:1012516217265}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-18244407155}
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    • This publication is cited in the following 42 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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