Geodesic
On direct and subdirect product decompositions of partially ordered sets
Mathematica slovaca, Tome 52 (2002) no. 4, pp. 377-395
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Classification : 06A06, 06A12, 06B05 
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Jakubík, Ján. On direct and subdirect product decompositions of partially ordered sets. Mathematica slovaca, Tome 52 (2002) no. 4, pp. 377-395. http://geodesic.mathdoc.fr/item/MASLO_2002_52_4_a1/

[1] BENADO M.: Les ensembles partiellement ordonnees et le theoreme de Schreier II. Czechoslovak Math. J. 5 (1955), 308-344. | MR

[2] BIRKHOFF G.: Lattice Theory. Colloquium Publications, Vol. XXV, Amer. Math. Soc., Providence, RI, 1967. | MR | Zbl

[3] GRATZER G.: Universal Algebra. D. Van Nostrand Company, Inc., Princeton, 1968. | MR

[4] GRATZER G.: General Lattice Theory. Akademie Verlag, Berlin, 1978. | MR

[5] HALAS R.: Decompositions of directed sets with zero. Math. Slovaca 45 (1995), 9-17. | MR | Zbl

[6] HASHIMOTO J.: On direct product decompositions of partially ordered sets. Ann. of Math. (2) 54 (1951), 315-318. | MR

[7] JAKUBÍK J.: Weak product decompositions of discrete lattices. Czechoslovak Math. J. 21 (1971), 399-412. | MR | Zbl

[8] JAKUBÍK J.: Weak product decompositions of partially ordered sets. Colloq. Math. 25 (1972), 13-26. | MR

[9] JAKUBÍK J.-CSONTOOVA M.: Convex isomorphisms of directed multilattices. Math. Bohem. 118 (1993), 359-374. | MR | Zbl

[10] JAKUBÍK J.-CSONTOOVA M.: Cancellation rule for internal direct product decompositions of a connected partially ordered set. Math. Bohem. 125 (2000), 115-122. | MR | Zbl

[11] KOLIBIAR M.: Graph isomorphisms of semilattices. In: Contributions to General Algebra 3, Proc. Vienna Conference, 1984, Verlag Holder-Pichler-Temspsky, Wien, 1985, pp. 225-235. | MR

[12] PRINGEROVA G.: Direct product decompositions of a directed set. Acta Fac. Paed. Univ. Safarik 17 (1996), 1-8. (Slovak)