Is the lattice of torsion classes algebraic? (English) Zbl 0376.06019


06F15 Ordered groups
06D05 Structure and representation theory of distributive lattices
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
06B23 Complete lattices, completions
18E40 Torsion theories, radicals
Full Text: DOI


[1] P. Conrad, Lattice-ordered groups, Tulane Univ., 1970. · Zbl 0258.06011
[2] Paul Conrad, Epi-archimedean groups, Czechoslovak Math. J. 24 (99) (1974), 192 – 218. · Zbl 0319.06009
[3] Jorge Martinez, Unique factorization in partially ordered sets, Proc. Amer. Math. Soc. 33 (1972), 213 – 220. · Zbl 0241.06007
[4] Jorge Martinez, Torsion theory for lattice-ordered groups, Czechoslovak Math. J. 25(100) (1975), 284 – 299. · Zbl 0321.06020
[5] Jorge Martinez, Torsion theory for lattice-ordered groups. II. Homogeneous \?-groups, Czechoslovak Math. J. 26(101) (1976), no. 1, 93 – 100 (English, with Loose Russian summary). · Zbl 0331.06009
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.