On Carathéodory's and Krein-Milman's theorems in fully ordered groups

Siegfried Helbig

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 1, page 157-167
  • ISSN: 0010-2628

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Helbig, Siegfried. "On Carathéodory's and Krein-Milman's theorems in fully ordered groups." Commentationes Mathematicae Universitatis Carolinae 029.1 (1988): 157-167. <http://eudml.org/doc/17605>.

@article{Helbig1988,
author = {Helbig, Siegfried},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ordered algebraic structure; convexity; fully ordered group; Carathéodory’s theorem; Krein-Milman's theorem},
language = {eng},
number = {1},
pages = {157-167},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On Carathéodory's and Krein-Milman's theorems in fully ordered groups},
url = {http://eudml.org/doc/17605},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Helbig, Siegfried
TI - On Carathéodory's and Krein-Milman's theorems in fully ordered groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 1
SP - 157
EP - 167
LA - eng
KW - ordered algebraic structure; convexity; fully ordered group; Carathéodory’s theorem; Krein-Milman's theorem
UR - http://eudml.org/doc/17605
ER -

References

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  1. P. BUTKOVIC, On certain properties of the system of linear extremal equations, Ekonomicko-matematický obzor 14 (1978), 72-78. (1978) Zbl0381.15008MR0489934
  2. S. HELBIG, Parametric optimization in certain lattice-ordered groups: variable objective function, in: J. Guddat, H. Th. Jongen, B. Kummer, F. Nožička, Parametric optimization and related topics, Akademie-Verlag, Berlin, 1987, 163-182. (1987) Zbl0641.90090MR0909728
  3. S. HELBIG, Parametrische semi-infinite Optimierung in totalgeordneten Gruppen, Rita G. Fischer-Verlag, Frankfurt/Main, 1987. (1987) 
  4. A. I. KOKORIN V. M. KOPYTOV, Fully ordered groups, John Wiley & Sons, New York, London, 1974. (1974) MR0364051
  5. J. NEDOMA, Řešení optimalizačních úloh na ohodnocených orientovaných grafech pomocí extremální algebry, Ekonomicko-matematická laboratoř při Ekonomickém ústavu ČSAV, Prague, 1974. (1974) 
  6. K. ZIMMERMANN, A general separation theorem in extremal algebras, Ekonomicko-matematický obzor 13 (1977), 179-201. (1977) Zbl0365.90127MR0453607

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