| Title:
|
On adjoining units to hyper-archimedean $l$-groups (English) |
| Author:
|
Conrad, Paul |
| Author:
|
Martinez, Jorge |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
503-516 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06D05 |
| MSC:
|
06F15 |
| MSC:
|
06F20 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 0842.06013 |
| idMR:
|
MR1344517 |
| DOI:
|
10.21136/CMJ.1995.128540 |
| . |
| Date available:
|
2009-09-24T09:50:09Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128540 |
| . |
| Reference:
|
[AF] M. Anderson, T. Feil: Lattice Ordered Groups.Reidel Publ. Co., Dordrecht, 1988. MR 0937703 |
| Reference:
|
[Be] S. J. Bernau: The lateral completion of arbitrary lattice-ordered groups.Jour. Austral. Math. Soc. 19 (1975), 263–289. MR 0384640, 10.1017/S1446788700031463 |
| Reference:
|
[BKW] A. Bigard, K. Keimel, S. Wolfenstein: Groupes et Anneaux Réticulès.Lecture Notes in Math. 608, Springer Verlag, Berlin-Heidelberg-New York, 1977. MR 0552653 |
| Reference:
|
[BiD] J. P. Bixler, M. Darnel: Special-valued $l$-groups.Alg. Univ. 22 (1986), 230–239. MR 0870466, 10.1007/BF01224024 |
| Reference:
|
[C1] P. Conrad: A characterization of lattice-ordered groups by their convex $l$-subgroups.Jour. Austral. Math. Soc. 7 (1967), 145–159, MP 35:5371. Zbl 0154.27001, MR 0214521, 10.1017/S1446788700005528 |
| Reference:
|
[C2] P. Conrad: The lateral completion of a lattice-ordered group.Proc. London Math. Soc. 19 (1969), 444–480. Zbl 0182.04803, MR 0244125, 10.1112/plms/s3-19.3.444 |
| Reference:
|
[C3] P. Conrad: The essential closure of an archimedean lattice-ordered group.Duke Math. Jour. 38 (1971), 151–160. Zbl 0216.03104, MR 0277457 |
| Reference:
|
[C4] P. Conrad: Epi-archimedean groups.Czech. Math. Jour. 24 (1974), 1–27. Zbl 0319.06009, MR 0347701 |
| Reference:
|
[CHH] P. Conrad, J. Harvey, W. C. Holland: The Hahn embedding theorem for abelian lattice-ordered groups.Trans. AMS 108 (1963), 143–169. MR 0151534, 10.1090/S0002-9947-1963-0151534-0 |
| Reference:
|
[CM1] P. Conrad, J. Martinez: Complemented lattice-ordered groups.Indag. Math. (New Series) 1 (1990), no. 3, 281–297. MR 1075880, 10.1016/0019-3577(90)90019-J |
| Reference:
|
[CM2] P. Conrad, J. Martinez: Settling a number of questions about hyper-archimedean lattice-ordered groups.Proc. AMS 109 (June 1990), no. 2, 291–296. MR 0998733 |
| Reference:
|
[CM3] P. Conrad, J. Martinez: Complementing lattice-ordered groups: the projectable case.Order 7 (1990), 183–203. MR 1101776, 10.1007/BF00383766 |
| Reference:
|
[CM4] P. Conrad, J. Martinez: Very large subgroups of a lattice-ordered group.Comm. in Alg. 18 (1990), no. 7, 2063–2098. MR 1063126, 10.1080/00927879008824011 |
| Reference:
|
[CM5] P. Conrad, J. Martinez: Signatures and $S$-discrete lattice-ordered groups.Alg. Univ (to appear). MR 1201177 |
| Reference:
|
[M1] J. Martinez: The hyper-archimedean kernel sequence of a lattice-ordered group.Bull. Austral. Math. Soc. 10 (1974), 337–350. Zbl 0275.06026, MR 0349524, 10.1017/S0004972700041022 |
| Reference:
|
[M2] J. Martinez: The closed subgroup problem for lattice-ordered group.Archiv der Math. 54 (1990), 212–224. MR 1037608, 10.1007/BF01188514 |
| Reference:
|
[Š] F. Šik: Zur Theorie der Halbgeordneete Gruppen.Czech. Math. Jour. 10 (1960), 400–424. |
| . |
