On complete lattice ordered groups with two generators. I.

Mária Jakubíková

Mathematica Slovaca (1978)

  • Volume: 28, Issue: 4, page 389-406
  • ISSN: 0139-9918

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Jakubíková, Mária. "On complete lattice ordered groups with two generators. I.." Mathematica Slovaca 28.4 (1978): 389-406. <http://eudml.org/doc/31727>.

@article{Jakubíková1978,
author = {Jakubíková, Mária},
journal = {Mathematica Slovaca},
keywords = {Complete Lattice Ordered Group K; B-Free Complete Lattice Ordered Groups; Completely Distributive Complete Lattice Ordered Groups},
language = {eng},
number = {4},
pages = {389-406},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On complete lattice ordered groups with two generators. I.},
url = {http://eudml.org/doc/31727},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Jakubíková, Mária
TI - On complete lattice ordered groups with two generators. I.
JO - Mathematica Slovaca
PY - 1978
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 28
IS - 4
SP - 389
EP - 406
LA - eng
KW - Complete Lattice Ordered Group K; B-Free Complete Lattice Ordered Groups; Completely Distributive Complete Lattice Ordered Groups
UR - http://eudml.org/doc/31727
ER -

References

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  2. BIRKHOFF G., Lattice theoгy, third edition, Pгovidence 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. J. 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 algebras, Fundam. Math., 54, 1964, 45-66. (1964) Zbl0119.26003MR0163863
  9. ЯKУБИK Я., Пpeдcтaвлeниe и pacшиpeниe l-гpyпп, Czech. Math. J., 13, 1963, 267-283. (1963) 
  10. JAKUBÍK J., Cantoг-Bernstein theorem for lattice ordered gгoups, Czech. Math. J., 22, 1972, 159-175. (1972) 
  11. JAKUBÍK J., Orthogonal hull of a strongly projectable lattice ordeгed gгoup, Czech. Math. J. (submitted). 
  12. JAKUBÍKOVÁ M., Über die B-Potenz einer veгbandsgeordneten Gruppe, Mat. Čas., 23, 1973, 231-239. (1973) 
  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 gгoups, Czech Math. J. (submitted). 
  15. POTKOBИЧ Г. Я., O дизьюнктнo пoлныx пoлyyпopядoчeнныx гpyппax, Czech. Math. J. (to appear). 
  16. ШИK Ф., K тeopии cтpyктypнo ynopядoчeнныx гpyпп, Czech. Math. J., 6, 1965, 1-25. (1965) 
  17. ŠIK F., Über subdirekte Summen geordneter Gгuppen, Czech. Math. J., 10, 1960, 400-424. (1960) MR0123626
  18. BУЛИX Б. 3., Bвeдeниe в тeopию пoлyyпopядoчeнныx пpocтpaнcтв, Mocквa 1961. (1961) 
  19. WEINBERG E. C., Completely distгibutive lattice ordered groups, Pacif. J. Math., 12, 1962, 1131-1137. (1962) MR0147549
  20. WEINBERG E. C., Free lattice ordered groups, Math. Ann., 151, 1963, 187-199. Received May 26, 1977. (1963) MR0153759

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