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Torsion classes of abelian cyclically ordered groups

In: Mathematica Slovaca, vol. 62, no. 4
Ján Jakubík
Detaily:
Rok, strany: 2012, 633 - 646
Kľúčové slová:
cyclically ordered group, torsion class, infinite distributivity, atom
O článku:
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 $\mathcal{T}$ of all such classes is partially ordered by the class-theoretical inclusion. Though $\mathcal{T}$ is a proper class, we can apply the usual terminology for this partial order. We prove that $\mathcal{T}$ is a complete, infinitely distributive lattice having infinitely many atoms.
Ako citovať:
ISO 690:
Jakubík, J. 2012. Torsion classes of abelian cyclically ordered groups. In Mathematica Slovaca, vol. 62, no.4, pp. 633-646. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0036-7

APA:
Jakubík, J. (2012). Torsion classes of abelian cyclically ordered groups. Mathematica Slovaca, 62(4), 633-646. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0036-7
O vydaní: