Distributivity in lattice ordered groups

Ján Jakubík

Czechoslovak Mathematical Journal (1972)

  • Volume: 22, Issue: 1, page 108-125
  • ISSN: 0011-4642

How to cite

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Jakubík, Ján. "Distributivity in lattice ordered groups." Czechoslovak Mathematical Journal 22.1 (1972): 108-125. <http://eudml.org/doc/12641>.

@article{Jakubík1972,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {1},
pages = {108-125},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Distributivity in lattice ordered groups},
url = {http://eudml.org/doc/12641},
volume = {22},
year = {1972},
}

TY - JOUR
AU - Jakubík, Ján
TI - Distributivity in lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1972
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 1
SP - 108
EP - 125
LA - eng
UR - http://eudml.org/doc/12641
ER -

References

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  2. R. D. Byrd, 10.2140/pjm.1967.20.423, Pacif. Journ. Math. 20 (1967), 423-432. (1967) Zbl0178.02902MR0207866DOI10.2140/pjm.1967.20.423
  3. R. D. Byrd J. T. Lloyd, 10.1007/BF01136029, Math. Zeitschr. 101 (1967), 123-130. (1967) MR0218284DOI10.1007/BF01136029
  4. P. Conrad, 10.2140/pjm.1964.14.493, Pacif. Journ. Math. 14 (1964), 494-499. (1964) Zbl0122.03701MR0166279DOI10.2140/pjm.1964.14.493
  5. P. Conrad, The lattice of all convex l-subgroups of a lattice ordered group, Czechoslov. Math. J. 15 (90) (1965), 101-123. (1965) Zbl0135.06301MR0173716
  6. P. Conrad D. McAllister, 10.1017/S1446788700005760, Journal Austral. Math. Soc. 9 (1969), 182-208. (1969) MR0249340DOI10.1017/S1446788700005760
  7. Л. Фукс, Частично упорядоченные алгебраические системы, Москва 1965. (1965) Zbl1099.01519
  8. J. Jakubík, Higher degrees of distributivity in lattices and lattice ordered groups, Czech. Math. Journ. 18 (93) (1968), 356-376. (1968) MR0225690
  9. J. T. Lloyd, 10.1307/mmj/1028999839, Michigan Math. Journ. 14 (1967), 393-400. (1967) Zbl0167.30202MR0219462DOI10.1307/mmj/1028999839
  10. R. S. Pierce, 10.2140/pjm.1957.7.983, Pacif. Journ. Math. 7 (1957), 983-992. (1957) Zbl0086.02803MR0089180DOI10.2140/pjm.1957.7.983
  11. D. Scott, 10.1090/S0002-9947-1957-0086048-7, Trans. Amer. Math. Soc. 84 (1957), 258-261. (1957) Zbl0092.03401MR0086048DOI10.1090/S0002-9947-1957-0086048-7
  12. Ф. Шик, К теории структурно упорядоченных групп, Чехосл. мат. ж. 6 (81) (1956). 1-25. (1956) Zbl0995.90522
  13. Б. 3. Byлих, Введение в теорию полуупорядоченных пространств, Москва 1961. (1961) 
  14. Е. С. Weinberg, 10.1090/S0002-9947-1962-0138569-8, Trans. Amer. Math. Soc. 104 (1962), 334-346. (1962) Zbl0105.09401MR0138569DOI10.1090/S0002-9947-1962-0138569-8
  15. E. C. Weinberg, 10.2140/pjm.1962.12.1131, Pacif. Journ. Math. 12 (1962), 1131-1148. (1962) Zbl0111.24301DOI10.2140/pjm.1962.12.1131

Citations in EuDML Documents

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  1. Mária Jakubíková, Abgeschlossene vollständige l -Untergruppen der Verbandsgruppen
  2. Ján Jakubík, Convergences and complete distributivity of lattice ordered groups
  3. Ján Jakubík, On vector lattices of elementary Carathéodory functions
  4. Ján Jakubík, On σ -complete lattice ordered groups
  5. Ján Jakubík, On the distributive radical of an Archimedean lattice-ordered group
  6. Ján Jakubík, Complete distributivity of lattice ordered groups and of vector lattices
  7. Ján Jakubík, Generalized Dedekind completion of a lattice ordered group
  8. Ján Jakubík, Sequential convergences on M V -algebras
  9. Ján Jakubík, Higher degrees of distributivity in M V -algebras
  10. Ján Jakubík, Prime selectors and torsion classes of lattice ordered groups

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