×

zbMATH — the first resource for mathematics

Closed subgroups and complete distributivity in lattice-ordered groups. (English) Zbl 0178.02902

Keywords:
group theory
PDF BibTeX XML Cite
Full Text: DOI EuDML
References:
[1] Birkhoff, G.: Lattice theory. Rev. Ed. Amer. Math. Soc. Colloquium 1948, Pub. 25. · Zbl 0033.10103
[2] Byrd, R. D.: Complete distributivity in lattice-ordered groups. Pacific J. Math. (to appear). · Zbl 0158.03303
[3] Byrd, R. D. M-Polars in lattice-ordered groups. Czech. Math. J. (to appear). · Zbl 0174.06004
[4] Conrad, P.: Some structure theorems for lattice-ordered groups. Trans. Amer. Math. Soc.99, 212-240 (1961). · Zbl 0099.25401 · doi:10.1090/S0002-9947-1961-0121405-2
[5] ?: The relationship between the radical of a lattice-ordered group and complete distributivity. Pacific. J. Math.14, 494-499 (1964). · Zbl 0122.03701
[6] ?: The lattice of all convexl-subgroups of a lattice-ordered group. Czech. Math. J.15, 101-123 (1965). · Zbl 0135.06301
[7] Fuchs, L.: Partially ordered algebraic systems. New York: Pergamon Press 1963. · Zbl 0137.02001
[8] Holland, C.: The lattice-ordered group of automorphisms of an ordered set. Michigan Math. J.10, 399-408 (1963). · Zbl 0116.02102 · doi:10.1307/mmj/1028998976
[9] ?: A class of simple lattice-ordered groups. Proc. Amer. Math. Soc.16, 326-329 (1965). · Zbl 0135.06401 · doi:10.1090/S0002-9939-1965-0173717-3
[10] Lloyd, J. T.: Complete distributivity in certain infinite permutation groups. Michigan Math. J. (to appear). · Zbl 0167.30202
[11] Weinberg, E. C.: Completely distributive lattice-ordered groups. Pacific. J. Math.12, 1131-1137 (1963). · Zbl 0111.24301
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.