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MR ZblDlab, Vlastimil. Lattice formulation of general algebraic dependence. Czechoslovak Mathematical Journal, Tome 20 (1970) no. 4, pp. 603-615. doi: 10.21136/CMJ.1970.100986
@article{10_21136_CMJ_1970_100986,
author = {Dlab, Vlastimil},
title = {Lattice formulation of general algebraic dependence},
journal = {Czechoslovak Mathematical Journal},
pages = {603--615},
year = {1970},
volume = {20},
number = {4},
doi = {10.21136/CMJ.1970.100986},
mrnumber = {0268093},
zbl = {0247.06006},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1970.100986/}
}
TY - JOUR AU - Dlab, Vlastimil TI - Lattice formulation of general algebraic dependence JO - Czechoslovak Mathematical Journal PY - 1970 SP - 603 EP - 615 VL - 20 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1970.100986/ DO - 10.21136/CMJ.1970.100986 LA - en ID - 10_21136_CMJ_1970_100986 ER -
[1] G. Birkhoff: Lattice theory. 3rd ed., Amer. Math. Soc. Colloq. Publ. No 25, Providence, R. I., 1967. | MR | Zbl
[2] V. Dlab: General algebraic dependence relations. Publ. Math. Debrecen 9 (1962), 324-355. | MR | Zbl
[3] V. Dlab: General algebraic dependence structures and some applications. Colloq. Math. 14 (1966), 265-273. | DOI | MR | Zbl
[4] V. Dlab: Algebraic dependence structures. Z. Math. Logik Grundlagen Math. 12 (1966), 345-377. | DOI | MR | Zbl
[5] V. Dlab: Dependence over modules. Czechoslovak Math. J. 16 (91) (1966), 137-157. | MR | Zbl
[6] V. Dlab: Rank theory of modules. Fund. Math. 64 (1969), 313-324. | DOI | MR | Zbl
[7] V. Dlab: Matrix representation of torsion-free rings. Czechoslovak Math. J. 19 (94) (1969), 284-298. | MR | Zbl
[8] V. Dlab: Lattice representation of general algebraic dependence. Math. Systems Theory 4 (1969), 289-299. | DOI | MR | Zbl
[9] L. Fuchs: Abelian groups. Akadémiai Kiadó. Budapest, 1958. | Zbl
[10] M. L. Dubreil-Jacotin L. Lesieur, R. Croisot: Leçons sur la théorie des treillis. Gauthier-Villars, Paris 1953. | MR
[11] H. Hermes: Einführung in die Verbandstheorie. Springer, 1955. | MR | Zbl
[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. | MR | Zbl
[13] E. Marczewski: Independence in some abstract algebras. ibid. 7 (1959), 611 - 616. | MR | Zbl
[14] W. Narkiewicz: Independence in a certain class of abstract algebras. Fund. Math. 50 (1960), 333-340. | DOI | MR
[15] J. von Neumann: Continuous geometry. Princeton University Press, 1960. | MR | Zbl
[16] D. E. Rutherford: Introduction to lattice theory. Oliver & Boyd, Edinburgh, 1965. | MR | Zbl
[17] J. Schmidt: Einige algebraische Äquivalente zum Auswahlaxiom. Fund. Math. 50 (1960), 485-496. | DOI | MR
[18] G. Szász: Introduction to lattice theory. 3rd ed.. Academic Press and Akadémiai Kiadó, 1963. | MR
[19] H. Whitney: On the abstract properties of linear dependence. Amer. J. Math. 57 (1935), 509-533. | DOI | MR | Zbl
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