| Title:
|
The lattice of all convex $l$-subgroups of a lattice-ordered group (English) |
| Author:
|
Conrad, Paul F. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
15 |
| Issue:
|
1 |
| Year:
|
1965 |
| Pages:
|
101-123 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06.75 |
| MSC:
|
20.00 |
| idZBL:
|
Zbl 0135.06301 |
| idMR:
|
MR0173716 |
| DOI:
|
10.21136/CMJ.1965.100656 |
| . |
| Date available:
|
2008-06-09T13:24:28Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100656 |
| . |
| Reference:
|
[1] K. Aubert: Theory of x-ideals.Acta Math. 107 (1962), 1-52. Zbl 0108.26002, MR 0148773, 10.1007/BF02545781 |
| Reference:
|
[2] G. Birkhoff: Lattice theory.Rev. Ed. (1949), Amer. Math. Soc. Colloquium Pub. 25. |
| Reference:
|
[3] P. Conrad: Embedding theorems for abelian groups with valuations.Amer. J. Math. 75 (1953), 1-29. Zbl 0050.02303, MR 0053933, 10.2307/2372611 |
| Reference:
|
[4] P. Conrad: Some structure theorems for lattice-ordered groups.Trans. Amer. Math. Soc. 99 (1961), 212-240. Zbl 0099.25401, MR 0121405, 10.1090/S0002-9947-1961-0121405-2 |
| Reference:
|
[5] P. Conrad J. Harvey С. 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 relationship between the radical of a lattice-ordered group and complete distributivity.Pacific J. Math. 14 (1964), 493-499 Zbl 0122.03701, MR 0166279, 10.2140/pjm.1964.14.493 |
| Reference:
|
[7] L. Fuchs: Partially ordered algebraic systems.Pergamon Press (1963). Zbl 0137.02001, MR 0171864 |
| Reference:
|
[8] H. Hahn: Über die nichtarchimedischen Grössensysteme.Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften, Vienna, 116 (1907), 601 - 653. |
| Reference:
|
[9] С. Holland: Extensions of ordered groups and sequence completion.Trans. Amer. Math. Soc. 107 (1963), 71-82. Zbl 0117.26903, MR 0146273, 10.1090/S0002-9947-1963-0146273-6 |
| Reference:
|
[10] С. Holland: The lattice-ordered group of automorphisms of an ordered set.Michigan Math. J. 10 (1963), 399-408. MR 0158009, 10.1307/mmj/1028998976 |
| Reference:
|
[11] A. Lavis: Sur les quotients totalement ordonnés d'un groupe linéairement ordonné.Bull. Soc. Royal Sciences Liège, 32 (1963), 204-208. Zbl 0122.27902, MR 0147565 |
| Reference:
|
[12] K. Lorenz: Über Strukturverbände von Verbandsgruppen.Acta Math. Acad. Sci. Hungaricae, 75 (1962), 55-67. Zbl 0109.25502, MR 0139547, 10.1007/BF02033625 |
| . |
