Torsion classes of abelian cyclically ordered groups |
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Authors: | Ján Jakubík |
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Institution: | 1. Mathematical Institute, Slovak Academy of Sciences, Gre???kova 6, SK-040 01, Ko?ice, Slovakia
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Abstract: | We introduce the notion of torsion class of abelian cyclically ordered groups; the definition is analogous to that used in the theory of lattice ordered groups. The collection T of all such classes is partially ordered by the class-theoretical inclusion. Though T is a proper class, we can apply the usual terminology for this partial order. We prove that T is a complete, infinitely distributive lattice having infinitely many atoms. |
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