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M-polars in lattice-ordered groups. (English) Zbl 0174.06004


Keywords:

group theory

References:

[1] G. Birkhoff: Lattice Theory. Rev. (1948), Amer. Math. Soc. Colloquium Pub. 25. · Zbl 0033.10103
[2] P. Conrad: Archimedean extensions of lattice-ordered groups. J. Indian Math. Soc. · Zbl 0168.27702
[3] P. Conrad: The lattice of all convex \(l\)-subgroups of a lattice ordered group. Czech. Math. J., 15 (1965), 101-123. · Zbl 0135.06301
[4] P. Conrad: Lex-subgroups of lattice-ordered groups. · Zbl 0155.05902
[5] P. Conrad: Some structure theorems for lattice-ordered groups. Trans. Amer. Math. Soc., 99 (1961), 212-240. · Zbl 0099.25401 · doi:10.2307/1993391
[6] L. Fuchs: Partially Ordered Algebraic Systems. Pergamon Press) · Zbl 0137.02001
[7] K. Lorenz: Über Strukturverbände von Verbandsgruppen. Acta Math. Acad. Sec. Hungar., 13 (1962), 55-67. · Zbl 0109.25502 · doi:10.1007/BF02033625
[8] R. S. Pierce: Homomorphisms of semigroups. Annals of Mathematics, 59 (1954), 287-291. · Zbl 0055.01502 · doi:10.2307/1969693
[9] F. Šik: On the theory of lattice-ordered groups. (in Russian), Czech. Math. J., 6 (1956), 1 - 25.
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