Ideals in Birkhoff lattices
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- by R. P. Dilworth
- Trans. Amer. Math. Soc. 49 (1941), 325-353
- DOI: https://doi.org/10.1090/S0002-9947-1941-0004229-3
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References
- Garrett Birkhoff, Rings of sets, Duke Math. J. 3 (1937), no. 3, 443–454. MR 1546000, DOI 10.1215/S0012-7094-37-00334-X —On combination of subalgebras, Proceedings of the Cambridge Philosophical Society, vol. 29 (1933), pp. 441-464. R. P. Dilworth Lattices with unique irreducible decompositions, Annals of Mathematics. —The arithmetical theory of Birkhoff lattices, submitted to Duke Mathematical Journal. S. Mac Lane A lattice formulation for transcendence degrees and $p$-bases, Duke Mathematical Journal, vol. 24 (1938), pp. 455-468.
- 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
- 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 1941 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 49 (1941), 325-353
- MSC: Primary 09.1X
- DOI: https://doi.org/10.1090/S0002-9947-1941-0004229-3
- MathSciNet review: 0004229