Geodesic
Convergence with a regulator in directed groups
Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 2, pp. 211-223

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There is defined and studied a convergence with a fixed regulator u in directed groups. A u-Cauchy completion of an integrally closed directed group is constructed.
Keywords: convergent sequence, fundamental sequence, Cauchy completion, integrally closed directed group, convergence regulator, vector lattice 
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     author = {\v{C}ern\'ak, \v{S}tefan},
     title = {Convergence with a regulator in directed groups},
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Černák, Štefan. Convergence with a regulator in directed groups. Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 2, pp. 211-223. http://geodesic.mathdoc.fr/item/DMGAA_2004_24_2_a4/