| Title:
|
Projectability and splitting property of lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
907-915 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we deal with the notions of projectability, spliting property and Dedekind completeness of lattice ordered groups, and with the relations between these notions. (English) |
| Keyword:
|
lattice ordered group |
| Keyword:
|
projectability |
| Keyword:
|
splitting property |
| Keyword:
|
Dedekind completeness |
| MSC:
|
06F15 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 1080.06026 |
| idMR:
|
MR2018838 |
| . |
| Date available:
|
2009-09-24T11:07:38Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127848 |
| . |
| Reference:
|
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| 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] S. Bernau: Orthocompletion of lattice ordered groups.Proc. London Math. Soc. 16 (1966), 107–130. MR 0188113 |
| Reference:
|
[4] P. F. Conrad: Lateral completion of lattice ordered groups.Proc. London Math. Soc. 19 (1969), 444–480. MR 0244125, 10.1112/plms/s3-19.3.444 |
| Reference:
|
[5] P. F. Conrad: The essential closure of an archimedean lattice group.Duke Math. J. 38 (1971), 151–160. MR 0277457 |
| Reference:
|
[6] J. Jakubík: Splitting property of lattice ordered groups.Czechoslovak Math. J. 24 (1974), 257–269. MR 0349523 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[9] J. Jakubík: Maximal Dedekind completion of an abelian lattice ordered group.Czechoslovak Math. J. 28 (1978), 611–631. MR 0506435 |
| Reference:
|
[10] J. Jakubík: Projectable kernel of a lattice ordered group.Universal Algebra and Applications. Banach Center Publ. 9 (1982), 105–112. MR 0738807 |
| Reference:
|
[11] J. Jakubík: Lateral and Dedekind completion of a strongly projectable lattice ordered group.Czechoslovak Math. J. 47 (1997), 511–523. MR 1461430, 10.1023/A:1022419703077 |
| Reference:
|
[12] J. Jakubík and M. Csontóová: Affine completeness of projectable lattice ordered groups.Czechoslovak Math. J. 48 (1998), 359–363. MR 1624264, 10.1023/A:1022849823068 |
| Reference:
|
[13] J. Jakubík: Lateral completion of a projectable lattice ordered group.Czechoslovak Math. J. 50 (2000), 431–444. MR 1761399, 10.1023/A:1022491406886 |
| Reference:
|
[14] A. V. Koldunov and G. Ya. Rotkovich: Archimedean lattice ordered groups with the splitting property.Czechoslovak Math. J. 37 (1987), 7–18. (Russian) MR 0875123 |
| . |
