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Congruence relations on and varieties of directed multilattices
Mathematica slovaca, Tome 38 (1988) no. 2, pp. 105-122
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}
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Lihová, Judita; Repaský, Karol. Congruence relations on and varieties of directed multilattices. Mathematica slovaca, Tome 38 (1988) no. 2, pp. 105-122. http://geodesic.mathdoc.fr/item/MASLO_1988_38_2_a2/

[1] BENADO M.: Les ensembles partiellement ordonnés et le théorème de raffinement de Schreier II. Czech. Math. J. 5, 1955, 308-344. | MR | Zbl

[2] BENADO M.: Bemerkungen zur Theorie der Vielverbände I, II, III. Math. Nachr. 20, 1959, 1-16. | MR

[3] BENADO M.: Bemerkungen zur Theorie der Vielverbände IV. Proc. Camb. Phil. Soc. 56, 1960, 291-317. | MR | Zbl

[4] BENADO M.: Teorija muľtirešotok i jejo značenie v algebre i geometriji. Acta Fac. Rerum Nat. Univ. Comenianae, Math. V, 1961, 431-448. | MR

[5] CRAWLEY P., DILWORTH R. P.: Algebraic Theory of Lattices. Prentice-Hall, Inc., Engelwood Cliffs - New Jersey 1973. | Zbl

[6] DUBREIL-JACOTIN M. L., CROISOT R.: Équivalences régulières dans un ensemble ordonné. Bull. Soc. Math. 80, 1952, 11-35. | MR | Zbl

[7] GRÄTZER G.: General Lattice Theory. Akademie-Verlag, Berlin 1978. | MR

[8] GRÄTZER G., LAKSER H.: Extension theorems on congruences of partial lattices. Not. Amer. Math. Soc. 15, 1968, 732, 785.

[9] GRÄTZER G., SCHMIDT E. T.: Ideals and congruence relations in lattices. Acta Math. Sci. Hungar. 9, 1958, 137-175. | MR | Zbl

[10] GRÄTZER G., SCHMIDT E. T.: On congruence lattices of lattices. Acta Math. Acad. Sci. Hungar. 13, 1962, 179-185. | MR | Zbl

[11] HANSEN D. J.: An axiomatic characterization of multilattices. Discrete Math. 33, 1981, 99-101. | MR | Zbl

[12] JAKUBÍK J.: Sur les axiomes des multistructures. Czech. Math. J. 6, 1956, 426-430. | MR | Zbl

[13] JAKUBÍK J.: Sur ľisomorphisme des graphes des multistructures. Acta Fac. Rerum Nat. Univ. Comenianae, Math. I, 1956, 255-264. | MR

[14] KLAUČOVÁ O.: Pairs of multilattices defined on the same set. Math. Slovaca 30, 1980, 181-186. | MR | Zbl

[15] MAEDA F.: Kontinuierliche Geometrien. Springer-Verlag, Berlin 1958. | MR

[16] McALISTER D. B.: On multilattice groups. Proc. Camb. Phil. Soc. 61, 1965, 621-638. | MR | Zbl

[17] McALISTER D. B.: On multilattice groups II. Proc. Camb. Phil. Soc. 62, 1966, 149-164. | MR | Zbl

[18] PICKETT H. E.: Homomorphisms and subalgebras of multialgebras. Pac. J. of Math. 21, 1967, 327-342. | MR | Zbl

[19] SCHMIDT E. T.: Zur Charakterisierung der Kongruenzverbände der Verbände. Mat. časopis SAV 18, 1968, 3-20. | MR

[20] SCHMIDT E. T.: Kongruenzrelationen algebraischer Structuren. VEB Deutscher Verlag der Wissenschaften, Berlin 1969. | MR

[21] SCHMIDT E. T.: Every finite distributive lattice is the congruence lattice of some modular lattice. Algebra Univeгsalis 4, 1974, 49-57. | MR | Zbl

[22] SCHWEIGERT D.: Congruence relations of multialgebras. Discrete Math. 53, 1985, 249-253. | MR | Zbl

[23] TOMKOVÁ M.: On the b-equivalence of multilattices. Math. Slovaca 27, 1977, 331-336. | MR | Zbl

[24] TOMKOVÁ M.: Graph isomorphisms of modular multilattices. Math. Slovaca 30, 1980, 95-100. | MR | Zbl