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Einige Charakterisationen von Ketten. (German) Zbl 0346.06005

MSC:
06A05 Total orders
06A06 Partial orders, general
08A05 Structure theory of algebraic structures
03E20 Other classical set theory (including functions, relations, and set algebra)
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References:
[1] Birkhoff G.: Lattice theory. New York, A.M.S.C. Publ. 25, 1948. · Zbl 0033.10103
[2] Bourbaki N.: Théorie des ensembles, 3. chap. Paris, Hermann 1956. · Zbl 0074.27701
[3] Bruns G.: Verbandstheoretische Kennzeichnung vollständiger Mengenringe. Arch. Math. 10 (1959), 109-112. · Zbl 0086.25303
[4] Funayama N., Nakayama T.: On the distributivity of a lattice-congruences. Proc. Imp. Acad. Tokyo 18 (1942), 553-554. · Zbl 0063.01483
[5] Grätzer G., Schmidt E. T.: Ideals and congruence relations in lattices. Acta Math. Acad. scient. Hung. IX(1958), 149-175. · Zbl 0085.02002
[6] Hashimoto J.: Ideal theory for lattices. Math. Japonicae 2 (1952), 149-186. · Zbl 0048.25903
[7] Sturm T.: Verbände von Kernen isotoner Abbildungen. Czech. Math. J. 22 (97), 1972, 126-144. · Zbl 0346.06002
[8] Sturm T.: Äquivalenz- und Ordnungsrelationen. Czech. Math. J. 22(97), 1972, 373 - 392. · Zbl 0346.06003
[9] Sturm T.: Zu Äquivalenz- und Ordnungsrelationen. Czech. Math. J. 23 (98), 1973, 362- 374. · Zbl 0346.06004
[10] Szász G.: Einführung in die Verbandstheorie. Leipzig, Teubner-Verlag 1962. · Zbl 0101.26901
[11] Jakubík J.: Relâcie kongruentnosti a slabâ projektívnos\? vo sväzoch. Čas. pro pěst. mat. 80 (1955), 206-216.
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