| Title:
|
Lateral completion of a projectable lattice ordered group (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2000 |
| Pages:
|
431-444 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 1047.06010 |
| idMR:
|
MR1761399 |
| . |
| Date available:
|
2009-09-24T10:34:17Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127581 |
| . |
| 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] G. Birkhoff: Lattice Theory.Revised edition, Amer Math. Soc. Colloq. Publ., vol. 25, Providence, 1948. Zbl 0033.10103, MR 0029876 |
| Reference:
|
[4] 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:
|
[5] P. F. Conrad: Lateral completion of lattice ordered groups.Proc. London Math. Soc. 19 (1969), 444–480. MR 0244125 |
| Reference:
|
[6] J. Jakubík: Representations and extensions of $\ell $-groups.Czechoslovak Math. J. 13 (1963), 267–283. (Russian) |
| Reference:
|
[7] J. Jakubík: Orthogonal hull of a strongly projectable lattice ordered group.Czechoslovak Math. J. 28 (1978), 484–504. MR 0505957 |
| Reference:
|
[8] J. Jakubík: Lateral and Dedekind completions of strongly projectable lattice ordered groups.Czechoslovak Math. J 47 (1997), 511–523. MR 1461430, 10.1023/A:1022419703077 |
| Reference:
|
[9] H. Nakano: Modern Spectral Theory.Tokyo, 1950. Zbl 0041.23402, MR 0038564 |
| Reference:
|
[10] A. G. Pinsker: Extended semiordered groups and spaces.Uchen. Zap. Leningrad. Gos. Ped. Inst. 86 (1949), 236–365. (Russian) |
| Reference:
|
[11] E. P. Shimbireva: To the theory of partially ordered groups.Mat. Sb. 20 (1947), 145–178. (Russian) MR 0020558 |
| . |
