Further properties of the lattice of torsion classes of abelian cyclically ordered groups

Rok, strany: 2015, 13 - 22

The notion of torsion class of abelian cyclically ordered groups has been introduced and fundamental properties of the collection $\mathcal{T}$ of all such classes, ordered by the class-theoretical inclusion, have been proved by the second author in 2011. The present paper can be considered as a continuation of the above mentioned one. We describe all atoms of $\mathcal{T}$, show that $\mathcal{T}$ does not have any dual atom and prove complete distributivity of $\mathcal{T}$.

ISO 690:

Lihová, J., Jakubík, J. 2015. Further properties of the lattice of torsion classes of abelian cyclically ordered groups. In Mathematica Slovaca, vol. 65, no.1, pp. 13-22. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0002

APA:

Lihová, J., Jakubík, J. (2015). Further properties of the lattice of torsion classes of abelian cyclically ordered groups. Mathematica Slovaca, 65(1), 13-22. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0002