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Title: Finite-valued subgroups of lattice-ordered groups (English)
Author: Chen, Yuanqian
Author: Conrad, Paul
Author: Darnel, Michael
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 46
Issue: 3
Year: 1996
Pages: 501-512
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Category: math
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MSC: 06F15
MSC: 20F60
idZBL: Zbl 0879.06010
idMR: MR1408301
DOI: 10.21136/CMJ.1996.127311
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Date available: 2009-09-24T09:59:06Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/127311
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Reference: [1] M. Anderson, P. Bixler, and P. Conrad: Vector lattices with no proper $a$-subspaces.Archiv Math. (Basel) 41 (1983), 427–433. MR 0731618, 10.1007/BF01207569
Reference: [2] M. Anderson, and T. Fei: Lattice-ordered groups: an introduction.D. Reidel, 1987. MR 0937703
Reference: [3] P. Bixler, and M. Darnel: Special-valued $\ell $-groups.Algebra Universalis 22 (1986), 172–191. MR 0870466, 10.1007/BF01224024
Reference: [4] R. Byrd: Lattice-ordered groups.Ph.D. Dissertation, Tulane University, 1966.
Reference: [5] Y. Chen: Torsion classes of lattice-ordered groups and special-valued subgroups.Ph.D. dissertation, University of Kansas, 1992.
Reference: [6] P. Conrad, J. Harvey, and W.C. Holland: The Hahn embedding theorem for lattice-ordered groups.Trans. Amer. Math. Soc. 108 (1963), 143–149. MR 0151534, 10.1090/S0002-9947-1963-0151534-0
Reference: [7] P. Conrad: Archimedean extensions of lattice-ordered groups.J. Indian Math. Soc. 30 (1966), 199–221. Zbl 0168.27702, MR 0224519
Reference: [8] P. Conrad: Torsion radicals of lattice-ordered groups.Symposia Math. 21 (1977), 479–513. Zbl 0372.06011, MR 0465969
Reference: [9] M. Darnel: Lattice-ordered groups. Preprint..
Reference: [10] J. Martinez: Torsion theory for lattice-ordered groups.Czech. Math. J. 25 (1975), 284–299. Zbl 0321.06020, MR 0389705
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