Representations of lattices by sets
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- by Garrett Birkhoff and Orrin Frink
- Trans. Amer. Math. Soc. 64 (1948), 299-316
- DOI: https://doi.org/10.1090/S0002-9947-1948-0027263-2
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References
- G. Birkhoff On the combination of subalgebras, Proc. Cambridge Philos. Soc. vol. 29 (1933) pp. 441-464.
—Lattice theory, Amer. Math. Soc. Colloquium Publications, vol. 25, New York, 1940.
- Garrett Birkhoff, Subdirect unions in universal algebra, Bull. Amer. Math. Soc. 50 (1944), 764–768. MR 10542, DOI 10.1090/S0002-9904-1944-08235-9
- Alan D. Campbell, Set-coordinates for lattices, Bull. Amer. Math. Soc. 49 (1943), 395–398. MR 8598, DOI 10.1090/S0002-9904-1943-07928-1
- R. P. Dilworth, Ideals in Birkhoff lattices, Trans. Amer. Math. Soc. 49 (1941), 325–353. MR 4229, DOI 10.1090/S0002-9947-1941-0004229-3
- Nelson Dunford and M. H. Stone, On the representation theorem for Boolean algebras, Rev. Ci. (Lima) 43 (1941), 447–453. MR 7002
- Orrin Frink Jr., Representations of Boolean algebras, Bull. Amer. Math. Soc. 47 (1941), 755–756. MR 5095, DOI 10.1090/S0002-9904-1941-07554-3
- Orrin Frink Jr., Complemented modular lattices and projective spaces of infinite dimension, Trans. Amer. Math. Soc. 60 (1946), 452–467. MR 18635, DOI 10.1090/S0002-9947-1946-0018635-9
- M. H. Stone, The theory of representations for Boolean algebras, Trans. Amer. Math. Soc. 40 (1936), no. 1, 37–111. MR 1501865, DOI 10.1090/S0002-9947-1936-1501865-8 —Topological representations of distributive lattices and Brouwerian logics, Časopis pro Peštovani Mathematiky a Fysiky vol. 67 (1937) pp. 1-25.
- Henry Wallman, Lattices and topological spaces, Ann. of Math. (2) 39 (1938), no. 1, 112–126. MR 1503392, DOI 10.2307/1968717
Bibliographic Information
- © Copyright 1948 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 64 (1948), 299-316
- MSC: Primary 09.1X
- DOI: https://doi.org/10.1090/S0002-9947-1948-0027263-2
- MathSciNet review: 0027263