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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
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
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
Linking options:
https://www.mathnet.ru/eng/al130 https://www.mathnet.ru/eng/al/v44/i5/p540
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Abstract page: | 323 | Full-text PDF : | 118 | References: | 73 | First page: | 1 |
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