Topology on regulators of lattice ordered groups. I. Topology induced by an l -group

František Šik

Mathematica Slovaca (1981)

  • Volume: 31, Issue: 4, page 417-428
  • ISSN: 0232-0525

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Šik, František. "Topology on regulators of lattice ordered groups. I. Topology induced by an $l$-group." Mathematica Slovaca 31.4 (1981): 417-428. <http://eudml.org/doc/34116>.

@article{Šik1981,
author = {Šik, František},
journal = {Mathematica Slovaca},
keywords = {dual principal polars; ultraantifilters; realizers; regulators; lattice ordered group; prime subgroup; prime ideal},
language = {eng},
number = {4},
pages = {417-428},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Topology on regulators of lattice ordered groups. I. Topology induced by an $l$-group},
url = {http://eudml.org/doc/34116},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Šik, František
TI - Topology on regulators of lattice ordered groups. I. Topology induced by an $l$-group
JO - Mathematica Slovaca
PY - 1981
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 31
IS - 4
SP - 417
EP - 428
LA - eng
KW - dual principal polars; ultraantifilters; realizers; regulators; lattice ordered group; prime subgroup; prime ideal
UR - http://eudml.org/doc/34116
ER -

References

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  1. BERNAU S. J., Topologies on structure spaces of lattice ordered groups, Pacific J, Math, 12, 1972, 557-568. (1972) MR0316341
  2. BIGARD A., KEIMEL K., WOLFENSTEIN S., Groupes et Anneaux Réticulés, Berlin 1977. (1977) Zbl0384.06022MR0552653
  3. BIRKHOFF G., Lattice Theory, 3rd ed., New York 1967. (1967) Zbl0153.02501MR0227053
  4. CONRAD P., Lattice ordered groups, The Tulane University. Lecture Notes. 1970. (1970) Zbl0258.06011
  5. FIALA F., Über einen gewissen Ultraantifilterraum, Math. Nachr. 33, 1967, 231-249. (1967) Zbl0145.03602MR0216993
  6. FIALA F., Standard-Ultraantifilter im Verband aller Komponenten einer l-Gruppe, Acta Math. Sci. Hung. 19, 1968, 405-412. (1968) Zbl0172.03701MR0236081
  7. GILLMAN L., JERISON M., Rings of continuous functions, New York 1960. (1960) Zbl0093.30001MR0116199
  8. JAKUBlK J., К теории частично упорядоченных групп., Čas. pěst. mat. 86, 1961, 318-329. (1961) 
  9. JOHNSON D. G., KIST J. E., Prime ideals in vector lattices, Canad. J. Math. 14, 1962, 517-528. (1962) Zbl0103.33003MR0138566
  10. RIBENBOIM P., Un théorème de realisation de groupes réticulés, Pacif. J. Math. 10, 1960, 305-309. (1960) Zbl0104.02602MR0110756
  11. SPEED T. P., Minimal prime ideals I, II, I. Bull. Soc. Roy. Sci. Liege 38,1969, 610-628; II. J. Austral. Math. Soc. 18, 1974, 54-72. (1969) 
  12. ŠIK F., Compacidad de ciertos espacios de ultraantifiltros, Memorias Fac. Cie. Univ. Habana, Vol. 1, No. 1, Ser. mat. Fasc. 1, 1963, 19-25. (1963) MR0179112
  13. ŠIK F., Struktur und Realisierungen von Verbandsgruppen I-V, I. Memorias Fac. Cie. Univ. Habana, Vol. 1, No. 3, Ser. mat. Fasc. 2, 3, 1964, 1-11; II. ibidem 11-29; III. ibidem No. 4, Fasc. 4, 5, 1966, 1-20; IV. ibidem No. 7, 1968, 19-44; V. Math. Nachr. 33, 1967, 221-229 (I, II Spanish, III-V German). (1964) 
  14. ŠIK F., Verbandsgruppen deren Komponentenverband kompakt erzeugt ist, Arch. Math. (Brno) 7, 1971, 101-121. (1971) Zbl0235.06007MR0311539

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