Convergences on lattice ordered groups with a finite number of disjoint elements

In this paper the partially ordered set Conv $G$ of all sequential convergences on $G$ is investigated, where $G$ is either a free lattice ordered group or a free abelian lattice ordered group.

On orthogonally $σ$ -complete lattice ordered groups

Ján Jakubík (2002)

Czechoslovak Mathematical Journal

Similarity:

In this paper we prove a theorem of Cantor-Bernstein type for orthogonally $σ$ -complete lattice ordered groups.

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