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Algebra i logika, 2005, Volume 44, Number 5, Pages 540–559 (Mi al130)  
This article is cited in 1 scientific paper (total in 1 paper)

Elementary Theory for $l$-Ideal Lattices of Abelian $l$-Groups

N. Ya. Medvedev
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Abstract: A description is furnished for ideal lattices of free vector lattices $\mathcal F_n$ with a finite number $n$ of free generators. It is proved that an elementary theory for $l$-ideal lattices of Abelian lattice-ordered groups is undecidable, which gives a negative solution to Problem 5.20 in the “Kourovka Notebook.”
Keywords: free vector lattice, ideal lattice, elementary theory.
Received: 02.06.2004
English version:
Algebra and Logic, 2005, Volume 44, Issue 5, Pages 302–312
DOI: https://doi.org/10.1007/s10469-005-0029-5
Bibliographic databases:
UDC: 512.545
Language: Russian
Citation: N. Ya. Medvedev, “Elementary Theory for $l$-Ideal Lattices of Abelian $l$-Groups”, Algebra Logika, 44:5 (2005), 540–559; Algebra and Logic, 44:5 (2005), 302–312
Citation in format AMSBIB
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\by N.~Ya.~Medvedev
\paper Elementary Theory for $l$-Ideal Lattices of Abelian $l$-Groups
\jour Algebra Logika
\yr 2005
\vol 44
\issue 5
\pages 540--559
\mathnet{http://mi.mathnet.ru/al130}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2195019}
\zmath{https://zbmath.org/?q=an:1101.06012}
\transl
\jour Algebra and Logic
\yr 2005
\vol 44
\issue 5
\pages 302--312
\crossref{https://doi.org/10.1007/s10469-005-0029-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-27544512131}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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