Riesz groups

L. Fuchs

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1965)

  • Volume: 19, Issue: 1, page 1-34
  • ISSN: 0391-173X

How to cite

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Fuchs, L.. "Riesz groups." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 19.1 (1965): 1-34. <http://eudml.org/doc/83340>.

@article{Fuchs1965,
author = {Fuchs, L.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {group theory},
language = {eng},
number = {1},
pages = {1-34},
publisher = {Scuola normale superiore},
title = {Riesz groups},
url = {http://eudml.org/doc/83340},
volume = {19},
year = {1965},
}

TY - JOUR
AU - Fuchs, L.
TI - Riesz groups
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1965
PB - Scuola normale superiore
VL - 19
IS - 1
SP - 1
EP - 34
LA - eng
KW - group theory
UR - http://eudml.org/doc/83340
ER -

References

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  1. [1] H. Bauer, Geordnete Gruppen mit Zerlegungseigenschaft, S.-B. Bayer. Akad. Wiss. Math.-Nat. Klasse, 1958, 25-36. Zbl0088.02701MR108539
  2. [2] G. Birkhoff, Lattice-ordered groups, Annals of Math., 43 (1942), 298-331. Zbl0060.05808MR6550
  3. [3] G. Birkhoff, Lattice theory (New York, 1948). Zbl0063.00402MR29876
  4. [4] P. Conrad, The relationship between the radical of a lattice-ordered group and complete distributivityPacific J. Math., 14 (1964), 493-499. Zbl0122.03701MR166279
  5. [5] L. Fuchs, The extension of partially ordered groups, Acta Math. Acad. Sci. Hung., 1 (1950), 118-124. Zbl0039.25201MR44544
  6. [6] L. Fuchs, Abelian groups (Budapest, 1958). Zbl0091.02704MR106942
  7. [7] L. Fuchs, Partially ordered algebraic systems (Oxford- London-New York-Paris, 1963). Zbl0137.02001MR171864
  8. [8] P G. KONTOROVIč - K.M. Kutyev, On the theory of lattice-ordered groups (in Russian), Izv. Vys. Uč. Zav. Mat., 1959, 112-120. Zbl0093.24701MR130310
  9. [9] K.M. Kutyev, On regular lattice-ordered groups (in Russian), Usp. Mat. Nank, 11: 1 (1956), 256. 
  10. [10] I. Namioka, Partially ordered linear topological spaces, Memoirs Amer. Math. Soc., 24 (1957), 1-50. Zbl0105.08901MR94681
  11. [11] L.S. Pontrjagin, Topologische Gruppen (Leipzig, 1957/8). Zbl0079.03903
  12. [12] P. Ribenboim, Théorie des groupes ordonnés (Bahia Blanca, 1964). Zbl0122.03603MR181678
  13. [13] F. Riesz, Sur quelques notions fondamentales dans la théorie générale des opérations linéaires, Annals of Math., 41 (1940), 174-206. Zbl0022.31802MR902JFM66.0553.01
  14. [14] J.R. Teller, On the extensions of lattice-ordered groups, Pacific J. Math., 14 (1964), 709-718. Zbl0122.27904MR163970
  15. [15] J.R. Teller, On partially ordered groups satisfying the Riesz interpolation property (to appear). Zbl0139.02502MR188310

Citations in EuDML Documents

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  1. Lássló Fuchs, Riesz vector spaces and Riesz algebras
  2. Milan Demko, On congruences and ideals of partially ordered quasigroups
  3. Liang Hong, Locally solid topological lattice-ordered groups
  4. Jiří Rachůnek, Riesz groups with a finite number of disjoint elements
  5. Sylvia Pulmannová, Extensions of partially ordered partial abelian monoids
  6. Jiří Rachůnek, Isometries in ordered groups
  7. Bohumil Šmarda, Weak Riesz groups
  8. Ján Jakubík, On directed interpolation groups
  9. Milan Jasem, On isometries in partially ordered groups

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