| Title:
|
Lattice-ordered groups with rank one components (English) |
| Author:
|
Conrad, Paul F. |
| Author:
|
Montgomery, Philip |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
25 |
| Issue:
|
3 |
| Year:
|
1975 |
| Pages:
|
445-453 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A55 |
| idZBL:
|
Zbl 0328.06015 |
| idMR:
|
MR0387147 |
| DOI:
|
10.21136/CMJ.1975.101339 |
| . |
| Date available:
|
2008-06-09T14:14:04Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101339 |
| . |
| Reference:
|
[1] Conrad P., Harvey J., Holland C.: The Hahn embedding theorem for abelian lattice ordered groups.Trans. Amer. Math. Soc. 108 (1963), 143-169. Zbl 0126.05002, MR 0151534, 10.1090/S0002-9947-1963-0151534-0 |
| Reference:
|
[2] Conrad P., McAllster D.: The completion of a lattice ordered group.J. Australian Math. Soc. 9 (1969), 182-208. MR 0249340, 10.1017/S1446788700005760 |
| Reference:
|
[3] Conrad P.: Lattice Ordered Groups.Tulane University (1970) New Orleans. Zbl 0258.06011 |
| Reference:
|
[4] Conrad P.: Epi-archimedean groups.to appear Czech. Math. J. Zbl 0319.06009, MR 0347701 |
| Reference:
|
[5] Conrad P.: Countable vector lattices.to appear Bul. Australian Math. Soc. Zbl 0278.06018, MR 0392749 |
| Reference:
|
[6] Fuchs L., Loonstra F.: On the cancellation of modules in direct sums over Dedekind domains.Indagationes Math. 33 (1971), 163-169. Zbl 0215.36802, MR 0289476, 10.1016/S1385-7258(71)80022-7 |
| Reference:
|
[7] Hill P., Mott J.: Embedding theorems and generalized discrete ordered abelian groups.Trans. Amer. Math. Soc. 775 (1973) 283 - 297. Zbl 0327.06014, MR 0311540, 10.1090/S0002-9947-1973-0311540-6 |
| Reference:
|
[8] Martinez J.: Archimedean-like classes of lattice ordered groups.Trans. Amer. Math. Soc. 186 (1973) 33-49. MR 0332614, 10.1090/S0002-9947-1973-0332614-X |
| Reference:
|
[9] Mott J.: Generalized discrete l-groups.(Preprint). Zbl 0328.06016, MR 0384641 |
| Reference:
|
[10] Ribenboim P.: Sur les groups totalment ordonnés et l'arithmétique des anneaux des valuation.Summa Brasil Math. 4 (1958) 1 - 64. MR 0107673 |
| Reference:
|
[11] Sankaran N., Venkataraman R.: A generalization of the ordered group of integers.Math. Zeit. 79 (1962) 21-31. Zbl 0146.25802, MR 0137775, 10.1007/BF01193102 |
| . |
