| Title:
|
Affine completeness and lexicographic product decompositions of abelian lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
917-922 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete. (English) |
| Keyword:
|
Abelian lattice ordered group |
| Keyword:
|
lexicographic product decomposition |
| Keyword:
|
affine completeness |
| MSC:
|
06F20 |
| idZBL:
|
Zbl 1081.06022 |
| idMR:
|
MR2184372 |
| . |
| Date available:
|
2009-09-24T11:28:53Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128033 |
| . |
| Reference:
|
[1] L. Fuchs: Partially Ordered Algebraic Systems.Pergamon Press, Oxford, 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[2] J. Jakubík: Affine completeness of complete lattice ordered groups.Czechoslovak Math. J. 45 (1995), 571–576. MR 1344522 |
| Reference:
|
[3] J. Jakubík: On the affine completeness of lattice ordered groups.Czechoslovak Math. J. 54 (2004), 423–429. MR 2059263, 10.1023/B:CMAJ.0000042381.83544.a7 |
| Reference:
|
[4] 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:
|
[5] K. Kaarli and A. F. Pixley: Polynomial Completeness in Algebraic Systems.Chapman-Hall, London-New York-Washington, 2000. MR 1888967 |
| . |
