A note on approximation theorems

Jiří Močkoř

Archivum Mathematicum (1979)

  • Volume: 015, Issue: 2, page 107-117
  • ISSN: 0044-8753

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Močkoř, Jiří. "A note on approximation theorems." Archivum Mathematicum 015.2 (1979): 107-117. <http://eudml.org/doc/17997>.

@article{Močkoř1979,
author = {Močkoř, Jiří},
journal = {Archivum Mathematicum},
keywords = {valuation theory; d-groups; lattice ordered groups; approximation theorems},
language = {eng},
number = {2},
pages = {107-117},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A note on approximation theorems},
url = {http://eudml.org/doc/17997},
volume = {015},
year = {1979},
}

TY - JOUR
AU - Močkoř, Jiří
TI - A note on approximation theorems
JO - Archivum Mathematicum
PY - 1979
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 015
IS - 2
SP - 107
EP - 117
LA - eng
KW - valuation theory; d-groups; lattice ordered groups; approximation theorems
UR - http://eudml.org/doc/17997
ER -

References

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  1. N. Bourbaki, Algèbre commutative, Hermann, Paris, 1961. (1961) Zbl0119.03603
  2. M. Fukawa, On the theory of valuations, J. Fac. Sci. Univ. Tokyo, Sec. 1,12(1965), 57-79. (1965) MR0186668
  3. R. Gilmer, Multiplicative Ideal Theory, Queens' Papers on Pure and Applied Mathematics, Kingston, 1968. (1968) Zbl0155.36402MR0229624
  4. M. Griffin, Rings of Krull type, J. Reine Angew. Math. 229 (1968), 1-27. (1968) Zbl0173.03504MR0220726
  5. P. Jaffard, Thèorie arithmètique des anneaux du type de Dedekind, I, Bul. Soc. Math. France 80 (1952), 61-100. (1952) MR0052396
  6. P. Jaffard, Solution d'un probléme de Krull, Bull. Soc. Math. 2e série, 85 (1961), 127-135. (1961) Zbl0112.26702MR0155895
  7. J. Močkoř, Realization of d-groups, Czech. Math. J. 27 (102) (1977), 296-312. (1977) MR0447454
  8. J. Močkoř, Prüfer d-groups, to appear in Czech. Math. J. MR0491400
  9. J. Močkoř, A realization of groups of divisibility, to appear in Com. Math. Univ. St. Pauli, Tokyo. MR0466101
  10. D. Müller, Verbandsgruppen und Durchschnitte endlich vieler Bewertungsringe, Math. Z. 77 (1961), 45-62. (1961) MR0126495
  11. T. Nakano, Rings and partly ordered systems, Math. Z. 99 (1967), 355-376. (1967) Zbl0149.27702MR0215765
  12. T. Nakano, A theorem on lattice ordered groups and its applications to the valuation theory, Math. Z. 83 (1964), 140-146. (1964) Zbl0121.27102MR0159890
  13. P. Ribenboim, Le thèoréme d'approximation pour les valuations de Krull, Math. Z. 68 (1957), 1-18. (1957) Zbl0102.03002MR0091944

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