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In this paper we prove that the system of all closed convex $ℓ$ -subgroups of a convergence $ℓ$ -group is a Brouwer lattice and that a similar result is valid for radical classes of convergence $ℓ$ -groups.

Combinatorial fans, lattice-ordered groups, and their neighbours: A short excursion.

Marra, Vincenzo, Mundici, Daniele (2002)

Séminaire Lotharingien de Combinatoire [electronic only]

Compatible elements in partly ordered groups.

Močkoř, Jiří, Kontolatou, Angeliki (2005)

International Journal of Mathematics and Mathematical Sciences

Complete distributivity of lattice ordered groups and of vector lattices

Ján Jakubík (2001)

Czechoslovak Mathematical Journal

In this paper we investigate the possibility of a regular embedding of a lattice ordered group into a completely distributive vector lattice.

Complete retract mappings of a complete lattice ordered group

Ján Jakubík (1993)

Czechoslovak Mathematical Journal

Completeness and continuity of lattice-seminorms

Wilhelm, M. (1977)

Abstracta. 5th Winter School on Abstract Analysis

Compressible groups

David J. Foulis (2003)

Mathematica Slovaca

Compressible groups with general comparability

David J. Foulis (2005)

Mathematica Slovaca

Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras

Ján Jakubík (1990)

Czechoslovak Mathematical Journal

Corrigendum: A completion for partially ordered abelian groups.

K.I. Rosenthal (1985)

Semigroup forum

Covering condition in the lattice of radical classes of linearly ordered groups

Gabriela Pringerová (1983)

Mathematica Slovaca

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