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On constructing a distributive lattice from a partially ordered set with DCC
Commentationes Mathematicae Universitatis Carolinae, Tome 9 (1968) no. 4, pp. 515-525 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Smith, David A. On constructing a distributive lattice from a partially ordered set with DCC. Commentationes Mathematicae Universitatis Carolinae, Tome 9 (1968) no. 4, pp. 515-525. http://geodesic.mathdoc.fr/item/CMUC_1968_9_4_a1/

[1] Garrett BIRKHOFF: Lattice Theory. Second Ed., American Mathematical Society (Colloquium Publications, No. 25), 1958.

[2] Garrett BIRKHOFF: Lattice Theory. Third Ed., same publisher, 1967. | MR

[3] Truman BOTTS: On lattice embeddings for partially ordered sets. Canad. J. Math. 6 (1954), 525-528. | MR

[4] R. P. DILWORTH, Peter CRAWLEY: Decomposition theory for lattices without chain conditions. Trans. Amer. Math. Soc. 96 (1960), 1-22. | MR

[5] Orin FRINK: Ideals in partially ordered sets. Amer. Math. Monthly 61 (1954), 223-234. | MR

[6] H. M. MacNEILLE: Partially ordered sets. Trans. Amer. Math. Soc. 42 (1937), 416-460. | MR | Zbl

[7] D. A. SMITH: Incidence functions as generalized arithmetic functions, II. Duke Math. J., to appear. | Zbl