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Transactions of the American Mathematical Society

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Decomposition theory for lattices without chain conditions


Authors: R. P. Dilworth and Peter Crawley
Journal: Trans. Amer. Math. Soc. 96 (1960), 1-22
MSC: Primary 06.00
DOI: https://doi.org/10.1090/S0002-9947-1960-0118690-9
MathSciNet review: 0118690
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  • [3] -, The arithmetical theory of Birkhoff lattices, Duke Math. J. vol. 8 (1941) pp. 286-299. MR 0005094 (3:100a)
  • [4] -, Ideals in Birkhoff lattices, Trans. Amer. Math. Soc. vol. 49 (1941) pp. 325-353. MR 0004229 (2:343d)
  • [5] -, Note on the Kurosh-Ore theorem, Bull. Amer. Math. Soc. vol. 52 (1946) pp. 659-663. MR 0016751 (8:62c)
  • [6] M. Hall, Distinct representatives of subsets, Bull. Amer. Math. Soc. vol. 54 (1948) pp. 922-926. MR 0027033 (10:238g)
  • [7] J. Hashimoto, Direct, subdirect decompositions and congruence relations, Osaka Math. J. vol. 9 (1957) pp. 87-112. MR 0091248 (19:935b)

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DOI: https://doi.org/10.1090/S0002-9947-1960-0118690-9
Article copyright: © Copyright 1960 American Mathematical Society

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