| Title:
|
Lateral and Dedekind completions of strongly projectable lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
47 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
511-523 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 0897.06019 |
| idMR:
|
MR1461430 |
| . |
| Date available:
|
2009-09-24T10:08:02Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127375 |
| . |
| Reference:
|
[1] S. J. Bernau: The lateral completion of an arbitrary lattice group.J. Austral. Math. Soc. 19 (1975), 263–289. Zbl 0314.06011, MR 0384640, 10.1017/S1446788700031463 |
| Reference:
|
[2] S. J. Bernau: Lateral and Dedekind completion of archimedean lattice groups.J. London Math. Soc. 12 (1976), 320–322. Zbl 0333.06008, MR 0401579, 10.1112/jlms/s2-12.3.320 |
| Reference:
|
[3] D. Byrd and T. J. Lloyd: A note on lateral completion in lattice ordered groups.J. London Math. Soc. 1 (1969), 358–362. MR 0249339, 10.1112/jlms/s2-1.1.358 |
| Reference:
|
[4] P. F. Conrad: Lateral completion of lattice ordered groups.Proc. London Math. Soc. 19 (1969), 444–480. MR 0244125 |
| Reference:
|
[5] P. F. Conrad: The essential closure of an archimedean lattice group.Duke Math. J. 38 (1971), 151–160. MR 0277457 |
| Reference:
|
[6] C. J. Everett: Sequence completion of lattice moduls.Duke Math. J. 11 (1944), 109–119. Zbl 0060.06301, MR 0009592, 10.1215/S0012-7094-44-01112-9 |
| Reference:
|
[7] L. Fuchs: Partially ordered algebraic systems.Pergamon Press, Oxford-London-New York-Paris, 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[8] J. Jakubík: Representations and extensions of $\ell $-groups.Czechoslovak Math. J. 13 (1963), 267–283. (Russian) |
| Reference:
|
[9] J. Jakubík: Orthogonal hull of a strongly projectable lattice ordered group.Czechoslovak Math. J. 28 (1978), 484–504. MR 0505957 |
| Reference:
|
[10] J. Jakubík: Maximal Dedekind completion of an abelian lattice ordered group.Czechoslovak Math. J. 28 (1978), 611–631. MR 0506435 |
| Reference:
|
[11] H. Nakano: Modern spectral theory.Tokyo, 1950. Zbl 0041.23402, MR 0038564 |
| Reference:
|
[12] A. G. Pinsker: Extended semiordered groups and spaces.Uchen. zapiski Leningrad. Gos. Ped. Inst. 86 (1949), 236–365. (Russian) |
| . |
