Lattice formulation of general algebraic dependence

Vlastimil Dlab

Czechoslovak Mathematical Journal (1970)

  • Volume: 20, Issue: 4, page 603-615
  • ISSN: 0011-4642

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Dlab, Vlastimil. "Lattice formulation of general algebraic dependence." Czechoslovak Mathematical Journal 20.4 (1970): 603-615. <http://eudml.org/doc/12554>.

@article{Dlab1970,
author = {Dlab, Vlastimil},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {603-615},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lattice formulation of general algebraic dependence},
url = {http://eudml.org/doc/12554},
volume = {20},
year = {1970},
}

TY - JOUR
AU - Dlab, Vlastimil
TI - Lattice formulation of general algebraic dependence
JO - Czechoslovak Mathematical Journal
PY - 1970
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 20
IS - 4
SP - 603
EP - 615
LA - eng
UR - http://eudml.org/doc/12554
ER -

References

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  1. G. Birkhoff, Lattice theory, 3rd ed., Amer. Math. Soc. Colloq. Publ. No 25, Providence, R. I., 1967. (1967) Zbl0153.02501MR0227053
  2. V. Dlab, General algebraic dependence relations, Publ. Math. Debrecen 9 (1962), 324-355. (1962) Zbl0119.01602MR0150078
  3. V. Dlab, 10.4064/cm-14-1-265-273, Colloq. Math. 14 (1966), 265-273. (1966) Zbl0136.26302MR0183666DOI10.4064/cm-14-1-265-273
  4. V. Dlab, 10.1002/malq.19660120130, Z. Math. Logik Grundlagen Math. 12 (1966), 345-377. (1966) Zbl0144.00901MR0214527DOI10.1002/malq.19660120130
  5. V. Dlab, Dependence over modules, Czechoslovak Math. J. 16 (91) (1966), 137-157. (1966) Zbl0139.26101MR0190188
  6. V. Dlab, 10.4064/fm-64-3-313-324, Fund. Math. 64 (1969), 313-324. (1969) Zbl0192.38001MR0246909DOI10.4064/fm-64-3-313-324
  7. V. Dlab, Matrix representation of torsion-free rings, Czechoslovak Math. J. 19 (94) (1969), 284-298. (1969) Zbl0182.36902MR0245612
  8. V. Dlab, 10.1007/BF01691058, Math. Systems Theory 4 (1969), 289-299. (1969) Zbl0199.32401MR0252300DOI10.1007/BF01691058
  9. L. Fuchs, Abelian groups, Akadémiai Kiadó. Budapest, 1958. (1958) Zbl0091.02704
  10. M. L. Dubreil-Jacotin L. Lesieur, R. Croisot, Leçons sur la théorie des treillis, Gauthier-Villars, Paris 1953. (1953) MR0057838
  11. H. Hermes, Einführung in die Verbandstheorie, Springer, 1955. (1955) Zbl0064.02901MR0067082
  12. E. Marczewski, A general scheme of the notions of independence in mathematics, Bull. Acad. Polon. Sci., Sér. sci math., astronom. et phys. 6 (1958), 731 - 736. (1958) Zbl0088.03001MR0104610
  13. E. Marczewski, Independence in some abstract algebras, ibid. 7 (1959), 611 - 616. (1959) Zbl0093.03504MR0115954
  14. W. Narkiewicz, 10.4064/fm-50-4-333-340, Fund. Math. 50 (1960), 333-340. (1960) MR0136566DOI10.4064/fm-50-4-333-340
  15. J. von Neumann, Continuous geometry, Princeton University Press, 1960. (1960) Zbl0171.28003MR0120174
  16. D. E. Rutherford, Introduction to lattice theory, Oliver & Boyd, Edinburgh, 1965. (1965) Zbl0127.24904MR0176942
  17. J. Schmidt, 10.4064/fm-50-5-485-496, Fund. Math. 50 (1960), 485-496. (1960) MR0139558DOI10.4064/fm-50-5-485-496
  18. G. Szász, Introduction to lattice theory, 3rd ed.. Academic Press and Akadémiai Kiadó, 1963. (1963) MR0166118
  19. H. Whitney, 10.2307/2371182, Amer. J. Math. 57 (1935), 509-533. (1935) Zbl0012.00404MR1507091DOI10.2307/2371182

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