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Algebra i logika, 2001, Volume 40, Number 3, Pages 302–308 (Mi al222)  

This article is cited in 4 scientific papers (total in 4 papers)

Finite Lattices as Lattices of Relative Congruences of Finite Unars and Abelian Groups

A. M. Nurakunov
Full-text PDF (620 kB) Citations (4)
Abstract: It is proved that every finite lattice is isomorphic to an $\mathbf R$-congruence lattice of a finite unar (finite Abelian group), as well as to a lattice of $\mathbf R$-varieties for some locally finite finitely axiomatizable quasivariety of unars (Abelian groups) $\mathbf R$.
Keywords: finite group, unar, finite Abelian group, $\mathbf R$-congruence lattice, lattice of $\mathbf R$-varieties.
Received: 31.08.1999
English version:
Algebra and Logic, 2001, Volume 40, Issue 3, Pages 166–169
DOI: https://doi.org/10.1023/A:1010260202035
Bibliographic databases:
UDC: 512.57
Language: Russian
Citation: A. M. Nurakunov, “Finite Lattices as Lattices of Relative Congruences of Finite Unars and Abelian Groups”, Algebra Logika, 40:3 (2001), 302–308; Algebra and Logic, 40:3 (2001), 166–169
Citation in format AMSBIB
\Bibitem{Nur01}
\by A.~M.~Nurakunov
\paper Finite Lattices as Lattices of Relative Congruences of Finite Unars and Abelian Groups
\jour Algebra Logika
\yr 2001
\vol 40
\issue 3
\pages 302--308
\mathnet{http://mi.mathnet.ru/al222}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1857885}
\zmath{https://zbmath.org/?q=an:1015.06003}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 3
\pages 166--169
\crossref{https://doi.org/10.1023/A:1010260202035}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38749106186}
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  • https://www.mathnet.ru/eng/al/v40/i3/p302
  • This publication is cited in the following 4 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:361
    Full-text PDF :170
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