Title:
|
Locally finite conditions on lattice-ordered groups (English) |
Author:
|
Conrad, Paul F. |
Author:
|
Martinez, Jorge |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
39 |
Issue:
|
3 |
Year:
|
1989 |
Pages:
|
432-444 |
. |
Category:
|
math |
. |
MSC:
|
06F15 |
idZBL:
|
Zbl 0688.06011 |
idMR:
|
MR1006308 |
DOI:
|
10.21136/CMJ.1989.102314 |
. |
Date available:
|
2008-06-09T15:27:54Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102314 |
. |
Reference:
|
[Ba] R. Baer: Representations of groups as quotient groups.Trans AMS, Vol. 58, (1946), 295-419. MR 0015106, 10.1090/S0002-9947-1945-0015106-X |
Reference:
|
[BKW] A. Bigard K. Keimel, S. Wolfenstein: Groupes et Anneaux Reticules.LNM 608, Springer; Berlin-Heidelberg-New York (1977). MR 0552653 |
Reference:
|
[B1] R. Bleier: Minimal vector lattice covers.Bul. Austral. Math. Soc., Vol. 5, (1971), 331-335. Zbl 0216.30502, MR 0295989, 10.1017/S0004972700047286 |
Reference:
|
[C1] P. Conrad: Lattice-ordered Groups.Tulane University Lecture Notes (1970). Zbl 0258.06011 |
Reference:
|
[C2] P. Conrad: Minimal vector lattice covers.Bul. Austral. Math. Soc., Vol. 4, (1971), 35-39. Zbl 0199.34703, MR 0272692, 10.1017/S0004972700046232 |
Reference:
|
[C3] P. Conrad: Epi-archimedean groups.Czech. Math. Journal, 24 (99), (1974), 192 - 218. Zbl 0319.06009, MR 0347701 |
Reference:
|
[Ho] H. Hollister: Nilpotent $l$-groups are representable.Alg. Univ. 8, (1978), 65-71. MR 0465971 |
Reference:
|
[K] V. M. Kopytov: On lattice-ordered, locally nilpotent groups.Alg. & Log., (1975), 14, No. 4, 407-413. MR 0401583 |
Reference:
|
[M1] J. Martinez: Torsion theory for lattice-ordered groups.Czech. Math. Jour., 25 (100), (1975), 284-299. Zbl 0321.06020, MR 0389705 |
Reference:
|
[M2] J. Martinez: Pairwise-splitting lattice-ordered groups.Czech. Math. Jour., 27 (102) (1977), 545-551. Zbl 0378.06009, MR 0457318 |
Reference:
|
[M3] J. Martinez: The fundamental theorem on torsion classes of lattice-ordered groups.Trans. AMS, Vol. 259, No. 1, May 1980, 311-317. Zbl 0433.06016, MR 0561839, 10.1090/S0002-9947-1980-0561839-7 |
Reference:
|
[R] D. J. S. Robinson: Finiteness conditions and generalized soluble groups.Part 1. Erg. d. Math., Band 62; Springer, Berlin-Heidelberg-New York, 1972. Zbl 0243.20033, MR 0332989 |
Reference:
|
[W] E. Weinberg: Free lattice-ordered abelian groups.Math. Ann. 151, (1963), 187-199. Zbl 0114.25801, MR 0153759, 10.1007/BF01398232 |
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