Previous |  Up |  Next

Article

References:
[1] R. A. Alo O. Frink: Topologies of lattice products. Canadian J. Math. 18 (1966), pp. 1004-1014. DOI 10.4153/CJM-1966-101-2 | MR 0209195
[2] G. Birkhoff: Lattice Theory. (second edition). Amer. Math. Soc. Colloquium Pub. 25, Providence, R.I., 1948. MR 0029876 | Zbl 0033.10103
[3] G. Birkhoff: A new interval topology for dually directed sets. Revista Mat. y Fis. Teorica Tucuman 14 (1962), pp. 325-331. MR 0166120 | Zbl 0135.22702
[4] G. Birkhoff: Lattice Theory. (third revised edition). Amer. Math. Soc. Colloquium Pub. 25, Providence, R.I., 1967. MR 0227053 | Zbl 0153.02501
[5] G. Birkhoff O. Frink: Representations of lattices by sets. Trans. Amer. Math. Soc. 64 (1948), pp. 299-316. DOI 10.1090/S0002-9947-1948-0027263-2 | MR 0027263
[6] N. Bourbaki: General Topology, Part 1. Addison-Wesley Pub. Co., Don Mills, Ont., 1966 (translated from the French, Topologie Générale, Hermann, Paris). Zbl 0301.54001
[7] P. Conrad: Lex-subgroups of lattice-ordered groups. Czech. Math. J. 18 (1968), pp. 86-103. MR 0225697 | Zbl 0155.05902
[8] W. Doyle: An arithmetical theorem for partially ordered sets. Bull. Amer. Math. Soc. 56 (1950), p. 366.
[9] O. Frink: Topology in lattices. Trans. Amer. Math. Soc. 51 (1942), pp. 569-582. DOI 10.1090/S0002-9947-1942-0006496-X | MR 0006496 | Zbl 0061.39305
[10] O. Frink: Ideals in partially ordered sets. Amer. Math. Monthly 61 (1954), pp. 223 - 234. DOI 10.2307/2306387 | MR 0061575 | Zbl 0055.25901
[11] M. Guillaume: Sur les topologies définies à partir d'une relation d'ordre. Acad. Roy. Belg. Cl. Sci. Mém. Coll. in 8° 29 (1956), no. 6. MR 0102484
[12] C. Holland: The interval topology of a certain $l$-group. Czech. Math. J. 15 (1965), pp. 311-314. MR 0177044 | Zbl 0137.25702
[13] J. Jakubík: The interval topology of an $l$-group. Coll. Math. 11 (1963), pp. 65-72. MR 0160831
[14] J. L. Kelley: General Topology. D. van Nostrand Co., Inc., Princeton, 1955. MR 0070144 | Zbl 0066.16604
[15] J. D. Lawson: Intrinsic lattice and semilattice topologies. Proceedings of the Conference on Lattice Theory (1973), University of Houston, to аррeаr. MR 0401576 | Zbl 0293.06011
[16] R. J. Loy J. B. Miller: Tight Riesz Groups. J. Australian Math. Soc. 13 (1972), pp. IIA-IAO. MR 0297669
[17] H. Mayer M. Novotný: On some topologies on products of ordered sets. Arch. Math. (Brno) 1 (1965), pp. 251-257. MR 0195071
[18] T. Naito: Lattices with $P$-ideal topologies. Tohoku Math. J. (2) 12 (1960), pp. 235-262. DOI 10.2748/tmj/1178244439 | MR 0121319 | Zbl 0094.01801
[19] R. H. Redfield: A topology for a lattice-ordered group. Trans. Amer. Math. Soc. 187 (1974), pp. 103-125. DOI 10.1090/S0002-9947-1974-0327607-3 | MR 0327607 | Zbl 0302.06028
[20] B. С. Rennie: Lattices. Proc. Lon. Math. Soc. 52 (1951), pp. 386-400. MR 0690634 | Zbl 0044.37901
[21] B. C. Rennie: Lattices. Foister & Jagg, Cambridge, 1952.
[22] F. Šik: Zur Theorie der halbgeordnete Gruppen. Czech. Math. J. 6 (1956), pp. 1 - 25. MR 0081907
[23] A. J. Ward: On relations between certain intrinsic topologies in partially ordered sets. Proc. Cambridge Phil. Soc. 51 (1955), pp. 254-261. MR 0070995 | Zbl 0066.02101
Partner of
EuDML logo