Geodesic
Minimal prime subgroups of lattice-ordered groups
Czechoslovak Mathematical Journal, Tome 30 (1980) no. 2, pp. 280-295

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DOI : 10.21136/CMJ.1980.101677
Classification : 06F15 
Conrad, Paul F. Minimal prime subgroups of lattice-ordered groups. Czechoslovak Mathematical Journal, Tome 30 (1980) no. 2, pp. 280-295. doi: 10.21136/CMJ.1980.101677
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[1] A. Bigard: Contribution a la theorie des groupes reticules. These, University Paris, (1969). | MR

[2] R. Byrd: Complete distributivity in lattice-ordered groups. Pacific J. Math. 20 (1967), 423-432. | DOI | MR | Zbl

[3] R. Byrd, T. Lloyd: Closed subgroups and complete distributivity in lattice-ordered groups. Math Zeitschr. 101 (1967) 123-130. | DOI | MR | Zbl

[4] P. Conrad: Some structure theorem for lattice-ordered groups. Trans. Amer. Math. Soc. 99 (1961), 212-240. | DOI | MR

[5] P. Conrad J. Harvey, C. Holland: The Hahn embedding theorem for abelian lattice ordered groups. Trans. Amer. Math. Soc. 108 (1963), 143-169. | DOI | MR

[6] P. Conrad: The lattice of all convex $l$-subgroups of a lattice-ordered group. Czech. Math. J. 15 (1965), 101-123. | MR | Zbl

[7] P. Conrad: Lex-subgroups of lattice-ordered groups. Czech. Math. J. 18 (1968), 86-103. | MR | Zbl

[8] P. Conrad A. Bigard, S. Wolfenstein: Compactly generated lattice-ordered groups. Math. Zeit. 107 (1968), 201-211. | DOI | MR

[9] P. Conrad, D. McAlister: The completion of a lattice-ordered group. J. Australian Math. Soc. 9 (1969), 182-208. | DOI | MR

[10] P. Conrad: Lattice-ordered groups. Lecture notes, Tulane Math. Library (1970). | Zbl

[11] P. Conrad, R. Bleier: The lattice of closed ideals and $a^*$-extensions of an abelian $l$-group. Pacific J. Math. 47 (1973), 329-340. | DOI | MR | Zbl

[12] P. Conrad, P. Montgomery: Lattice-ordered groups with rank over components. Czech. Math. J. 25 (1975), 445-453. | MR

[13] P. Conrad: Torsion radicals of lattice-ordered groups. Symposia Mathematica, Vol. XXI (1977), 479-513. | MR | Zbl

[14] J. Martinez: Varieties of lattice-ordered groups. Math. Zeitschr. 137 (1974), 265-284. | DOI | MR | Zbl

[15] J. Martinez: Torsion theory for lattice-ordered groups. Czech. Math. J. 25 (1975), 284-299. | MR | Zbl

[16] J. Martinez: Torsion theory for lattice-ordered groups. Part II: Homogeneous $l$-groups. To appear. | MR

[17] F. Petersen: Contributions to the theory of regular and prime subgroups of lattice-ordered groups. Dissertation Tulane University (1967).

[18] F. Šik: Sous-groupes simples et ideaux simples des groupes réticulés. С. R. Acad. Sci. Paris 261 (1965), 2791-2793. | MR

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