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 |
. |
Category:
|
math |
. |
MSC:
|
06F15 |
MSC:
|
20F60 |
idZBL:
|
Zbl 0879.06010 |
idMR:
|
MR1408301 |
DOI:
|
10.21136/CMJ.1996.127311 |
. |
Date available:
|
2009-09-24T09:59:06Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127311 |
. |
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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