| Title:
|
Affine completeness and wreath product decompositions of lattice ordered group (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
58 |
| Issue:
|
3 |
| Year:
|
2008 |
| Pages:
|
717-723 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\Delta $ and $H$ be a nonzero abelian linearly ordered group or a nonzero abelian lattice ordered group, respectively. In this paper we prove that the wreath product of $\Delta $ and $H$ fails to be affine complete. (English) |
| Keyword:
|
lattice ordered group |
| Keyword:
|
wreath product |
| Keyword:
|
affine completeness |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 1174.06338 |
| idMR:
|
MR2455933 |
| . |
| Date available:
|
2010-07-20T14:02:07Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140416 |
| . |
| Reference:
|
[1] Conrad, P.: Lattice Ordered Groups.Tulane University New Orleans (1970). Zbl 0258.06011 |
| Reference:
|
[2] Jakubík, J.: Affine completeness of complete lattice ordered groups.Czechoslovak Math. J. 45 (1995), 571-576. MR 1344522 |
| Reference:
|
[3] Jakubík, J.: 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] Jakubík, J.: Affine completeness and lexicographic product decompositions of abelian lattice ordered groups.Czechoslovak Math. J. 55 (2005), 917-922. MR 2184372, 10.1007/s10587-005-0075-0 |
| Reference:
|
[5] Jakubík, J., Csontóová, M.: Affine completeness of projectable lattice ordered groups.Czechoslovak Math. J. 48 (1998), 359-363. MR 1624264, 10.1023/A:1022849823068 |
| Reference:
|
[5] Kaarli, K., Pixley, A. F.: Polynomial Completeness in Algebraic Systems.Chapman-Hall London-New York-Washington (2000). MR 1888967 |
| . |
