Free lattices with infinite operations
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- by Peter Crawley and Richard A. Dean
- Trans. Amer. Math. Soc. 92 (1959), 35-47
- DOI: https://doi.org/10.1090/S0002-9947-1959-0108447-9
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References
- Heinz Bachmann, Transfinite Zahlen, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 1, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955 (German). MR 0071481
- R. Dean, Completely free lattices generated by partially ordered sets, Trans. Amer. Math. Soc. 83 (1956), 238–249. MR 80076, DOI 10.1090/S0002-9947-1956-0080076-2
- R. P. Dilworth, Lattices with unique complements, Trans. Amer. Math. Soc. 57 (1945), 123–154. MR 12263, DOI 10.1090/S0002-9947-1945-0012263-6
- Bjarni Jónsson, Universal relational systems, Math. Scand. 4 (1956), 193–208. MR 96608, DOI 10.7146/math.scand.a-10468
- H. M. MacNeille, Partially ordered sets, Trans. Amer. Math. Soc. 42 (1937), no. 3, 416–460. MR 1501929, DOI 10.1090/S0002-9947-1937-1501929-X
- Philip M. Whitman, Free lattices, Ann. of Math. (2) 42 (1941), 325–330. MR 3614, DOI 10.2307/1969001
- Philip M. Whitman, Free lattices. II, Ann. of Math. (2) 43 (1942), 104–115. MR 6143, DOI 10.2307/1968883
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 92 (1959), 35-47
- MSC: Primary 06.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0108447-9
- MathSciNet review: 0108447