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Unique factorization in partially ordered sets. (English) Zbl 0241.06007

MSC:
06D05 Structure and representation theory of distributive lattices
06A06 Partial orders, general
06B05 Structure theory of lattices
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References:
[1] James C. Abbott, Sets, lattices, and Boolean algebras, Allyn and Bacon, Inc., Boston, Mass., 1969. · Zbl 0222.06001
[2] Garrett Birkhoff, Lattice theory, Third edition. American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. · Zbl 0153.02501
[3] Garrett Birkhoff and Orrin Frink Jr., Representations of lattices by sets, Trans. Amer. Math. Soc. 64 (1948), 299 – 316. · Zbl 0032.00504
[4] Paul Conrad, The lattice of all convex \?-subgroups of a lattice-ordered group, Czechoslovak Math. J. 15 (90) (1965), 101 – 123 (English, with Russian summary). · Zbl 0135.06301
[5] S. Papert, Which distributive lattices are lattices of closed sets?, Proc. Cambridge Philos. Soc. 55 (1959), 172 – 176. · Zbl 0178.33703
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