Modularity relations in lattices
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- by R. J. Mihalek
- Proc. Amer. Math. Soc. 11 (1960), 9-16
- DOI: https://doi.org/10.1090/S0002-9939-1960-0110658-7
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References
- Garrett Birkhoff, Abstract Linear Dependence and Lattices, Amer. J. Math. 57 (1935), no. 4, 800–804. MR 1507113, DOI 10.2307/2371015
- Shûichirô Maeda, Dimension functions on certain general lattices, J. Sci. Hiroshima Univ. Ser. A 19 (1955), 211–237. MR 78338 R. J. Mihalek, Modularity relations in lattices. Preliminary report, Notices Amer. Math. Soc. vol. 5 (1958) p. 349. J. von Neumann, Lectures on continuous geometries, vol. 1, Princeton, 1936.
- L. R. Wilcox, Modularity in the theory of lattices, Ann. of Math. (2) 40 (1939), no. 2, 490–505. MR 1503473, DOI 10.2307/1968934
- L. R. Wilcox, A note on complementation in lattices, Bull. Amer. Math. Soc. 48 (1942), 453–458. MR 6993, DOI 10.1090/S0002-9904-1942-07702-0 —, Modular extensions of semi-modular lattices, Bull. Amer. Math. Soc. vol. 61 (1955) p. 524.
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 11 (1960), 9-16
- MSC: Primary 06.00
- DOI: https://doi.org/10.1090/S0002-9939-1960-0110658-7
- MathSciNet review: 0110658