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Zbl 0959.06008
Šmarda, Bohumil
Independence in $\ell$-groups.
(English)
[J] Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 38, 139-147 (1999). ISSN 0231-9721

The paper under review deals with independence and linear independence in lattice ordered groups ($l$-groups). The author introduces and studies new types of independences which are not included in known general schemes, but which are essential for the theory of $l$-groups. Characterizations and classifications of subsets of $l$-groups satisfying some independences introduced in the paper are obtained.
[J.Rachuunek (Olomouc)]
MSC 2000:
*06F15 Ordered groups

Keywords: $l$-group; independence; generators

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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