Title:
|
Lattice ordered groups with unique addition must be archimedean (English) |
Author:
|
Jakubík, Ján |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
41 |
Issue:
|
3 |
Year:
|
1991 |
Pages:
|
559-563 |
. |
Category:
|
math |
. |
MSC:
|
06F15 |
MSC:
|
06F20 |
idZBL:
|
Zbl 0756.06011 |
idMR:
|
MR1117808 |
DOI:
|
10.21136/CMJ.1991.102489 |
. |
Date available:
|
2008-06-09T15:41:35Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102489 |
. |
Reference:
|
[1] P. Conrad M. Darnel: $1$-groups with unique addition.Algebra and Order. Proc. First. Int. Symp. Ordered Algebraic Structures, Luminy-Marseille 1984, Helderman Verlag, Berlin 1986, 15-27. MR 0891445 |
Reference:
|
[2] J. Jakubík: On lattice ordered groups having a unique addition.Czechoslov. Math. J. 40, 1990, 311-314. MR 1046296 |
Reference:
|
[3] J. Jakubík: Cyclically ordered groups with unique addition.Czechoslov. Math. J. 40, 1990, 534-538. MR 1065033 |
Reference:
|
[4] T. Ohkuma: Sur quelques ensembles ordonnés linéairement.Fund. Math. 43, 1955, 326-337. MR 0084486 |
Reference:
|
[5] : Ordered algebraic structures.Proc. Conf. Curaçao, 1989. Edited by J. Martinez. Kluwer Acad. Publ., Dordrecht-Boston-London 1989. Zbl 0707.06011, MR 1094821 |
. |