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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
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Category: math
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MSC: 06F15
MSC: 06F20
idZBL: Zbl 0756.06011
idMR: MR1117808
DOI: 10.21136/CMJ.1991.102489
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Date available: 2008-06-09T15:41:35Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102489
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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
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