On complete lattice ordered groups with two generators. II.

Mária Jakubíková

Mathematica Slovaca (1979)

  • Volume: 29, Issue: 3, page 271-287
  • ISSN: 0232-0525

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Jakubíková, Mária. "On complete lattice ordered groups with two generators. II.." Mathematica Slovaca 29.3 (1979): 271-287. <http://eudml.org/doc/32059>.

@article{Jakubíková1979,
author = {Jakubíková, Mária},
journal = {Mathematica Slovaca},
keywords = {singular l-group; complete distributivity; a-free generators; b-free generators; complete lattice ordered group; a-free complete lattice ordered group},
language = {eng},
number = {3},
pages = {271-287},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On complete lattice ordered groups with two generators. II.},
url = {http://eudml.org/doc/32059},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Jakubíková, Mária
TI - On complete lattice ordered groups with two generators. II.
JO - Mathematica Slovaca
PY - 1979
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 29
IS - 3
SP - 271
EP - 287
LA - eng
KW - singular l-group; complete distributivity; a-free generators; b-free generators; complete lattice ordered group; a-free complete lattice ordered group
UR - http://eudml.org/doc/32059
ER -

References

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  2. BIRKHOFF G., Lattice theory, third edition, Providence 1976. (1976) 
  3. CONRAD P., Lattice ordered groups, Tulane University, 1970. (1970) Zbl0258.06011
  4. CONRAD P., The relationship between the radical of a lattice ordered group and complete distributivity, Pacif. Journ Math. 14, 1964, 493-499. (1964) Zbl0122.03701MR0166279
  5. CONRAD. P., Free abelian l-groups and vector lattices, Math. Ann. 190, 1971, 306-312. (190,) MR0281667
  6. CONRAD P., The lateral completion of a lattice ordered group, Proc. London Math. Soc. 19, 1963, 444-480. (1963) MR0244125
  7. ФУKC Л., Чacтичнo yпopядoчeнныe aлгeбpaичecкиe cиcтeмы, Mocквa 1965. (1965) 
  8. HALES A. W., On the non-existence of free complete Boolean algebгas, Fundam. Math. 54, 1964, 45-66. (1964) MR0163863
  9. ЯKУБИK Я., Пpeдcтaвлeниe и pacшиpeниe l-гpynп, Czech. Math. J. 13, 1963, 267-283. (1963) 
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  11. JAKUBÍK J., Orthogonal hull of a strongly projectable lattice ordered group, Czech. Math. J. 28, 1978, 484-527. (1978) MR0505957
  12. JAKUBÍKOVÁ M., Über die B-Potenz einer verbandsgeordneten Gruppe, Matem. Čas. 23, 1973, 231-239. (1973) MR0337718
  13. JAKUBÍKOVÁ M., The nonexistence of free complete vector lattices, Čas. Pěst. Mat. 99, 1974, 142-146. (1974) Zbl0279.06015MR0360404
  14. JAKUBÍKOVÁ M., Totally inhomogeneous lattice ordered groups, Czech. Math. J. 28, 1978, 594-610. (1978) Zbl0432.06013MR0498316
  15. POTKOBИЧ Г. Я., O дизьюнктнo noлныx noлyyпopядoчeнныx грynnax, Czech. Math. J. 27, 1977, 523-527. (1977) 
  16. ШИK Ф., K тeopии cтpyктypнo yпopядoчeнныx грyпп, Czech. Math. J. 6, 1965, 1-25. (1965) 
  17. ŠIK F., Über subdirekte Summen geoгdneter Gгuppen, Czech. Math. J. 10, 1960, 400-424. (1960) MR0123626
  18. BУЛИX Б. 3., Bвeдeниe в тeopию noлyynopядoчeнныx npocтpaнcтв, Mocквa 1961. (1961) 
  19. WEINBERG E. C., Completely distributive lattice ordered groups, Pacif. J. Math. 12, 1962, 1131-1137. (1962) Zbl0111.24301MR0147549
  20. WEINBERG E. C., Free lattice ordered groups, Math. Ann. 151, 1963, 187-199. (1963) MR0153759

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