| Title:
|
Minimal prime subgroups of lattice-ordered groups (English) |
| Author:
|
Conrad, Paul F. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1980 |
| Pages:
|
280-295 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0444.06006 |
| idMR:
|
MR566052 |
| DOI:
|
10.21136/CMJ.1980.101677 |
| . |
| Date available:
|
2008-06-09T14:39:08Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101677 |
| . |
| Reference:
|
[1] A. Bigard: Contribution a la theorie des groupes reticules.These, University Paris, (1969). MR 0250950 |
| Reference:
|
[2] R. Byrd: Complete distributivity in lattice-ordered groups.Pacific J. Math. 20 (1967), 423-432. Zbl 0178.02902, MR 0207866, 10.2140/pjm.1967.20.423 |
| Reference:
|
[3] R. Byrd, T. Lloyd: Closed subgroups and complete distributivity in lattice-ordered groups.Math Zeitschr. 101 (1967) 123-130. Zbl 0178.02902, MR 0218284, 10.1007/BF01136029 |
| Reference:
|
[4] P. Conrad: Some structure theorem for lattice-ordered groups.Trans. Amer. Math. Soc. 99 (1961), 212-240. MR 0121405, 10.1090/S0002-9947-1961-0121405-2 |
| Reference:
|
[5] P. Conrad J. Harvey, C. Holland: The Hahn embedding theorem for abelian lattice ordered groups.Trans. Amer. Math. Soc. 108 (1963), 143-169. MR 0151534, 10.1090/S0002-9947-1963-0151534-0 |
| Reference:
|
[6] P. Conrad: The lattice of all convex $l$-subgroups of a lattice-ordered group.Czech. Math. J. 15 (1965), 101-123. Zbl 0135.06301, MR 0173716 |
| Reference:
|
[7] P. Conrad: Lex-subgroups of lattice-ordered groups.Czech. Math. J. 18 (1968), 86-103. Zbl 0155.05902, MR 0225697 |
| Reference:
|
[8] P. Conrad A. Bigard, S. Wolfenstein: Compactly generated lattice-ordered groups.Math. Zeit. 107 (1968), 201-211. MR 0236083, 10.1007/BF01110258 |
| Reference:
|
[9] P. Conrad, D. McAlister: The completion of a lattice-ordered group.J. Australian Math. Soc. 9 (1969), 182-208. MR 0249340, 10.1017/S1446788700005760 |
| Reference:
|
[10] P. Conrad: Lattice-ordered groups.Lecture notes, Tulane Math. Library (1970). Zbl 0258.06011 |
| Reference:
|
[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. Zbl 0238.06012, MR 0325486, 10.2140/pjm.1973.47.329 |
| Reference:
|
[12] P. Conrad, P. Montgomery: Lattice-ordered groups with rank over components.Czech. Math. J. 25 (1975), 445-453. MR 0387147 |
| Reference:
|
[13] P. Conrad: Torsion radicals of lattice-ordered groups.Symposia Mathematica, Vol. XXI (1977), 479-513. Zbl 0372.06011, MR 0465969 |
| Reference:
|
[14] J. Martinez: Varieties of lattice-ordered groups.Math. Zeitschr. 137 (1974), 265-284. Zbl 0274.20034, MR 0354483, 10.1007/BF01214370 |
| Reference:
|
[15] J. Martinez: Torsion theory for lattice-ordered groups.Czech. Math. J. 25 (1975), 284-299. Zbl 0321.06020, MR 0389705 |
| Reference:
|
[16] J. Martinez: Torsion theory for lattice-ordered groups. Part II: Homogeneous $l$-groups.To appear. MR 0389705 |
| Reference:
|
[17] F. Petersen: Contributions to the theory of regular and prime subgroups of lattice-ordered groups.Dissertation Tulane University (1967). |
| Reference:
|
[18] F. Šik: Sous-groupes simples et ideaux simples des groupes réticulés.С. R. Acad. Sci. Paris 261 (1965), 2791-2793. MR 0194528 |
| . |
