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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1086,
author = {\v Stefan \v Cern\'ak},
title = {Convergence with a regulator in directed groups},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {24},
year = {2004},
pages = {211-223},
zbl = {1082.06015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1086}
}
Štefan Černák. Convergence with a regulator in directed groups. Discussiones Mathematicae - General Algebra and Applications, Tome 24 (2004) pp. 211-223. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1086/
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