Locally finite conditions on lattice-ordered groups

Paul F. Conrad; Jorge Martinez

Czechoslovak Mathematical Journal (1989)

  • Volume: 39, Issue: 3, page 432-444
  • ISSN: 0011-4642

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Conrad, Paul F., and Martinez, Jorge. "Locally finite conditions on lattice-ordered groups." Czechoslovak Mathematical Journal 39.3 (1989): 432-444. <http://eudml.org/doc/13788>.

@article{Conrad1989,
author = {Conrad, Paul F., Martinez, Jorge},
journal = {Czechoslovak Mathematical Journal},
keywords = {local property; root system; finitely generated; lex-sum; free abelian group; step functions; nilpotent -group},
language = {eng},
number = {3},
pages = {432-444},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Locally finite conditions on lattice-ordered groups},
url = {http://eudml.org/doc/13788},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Conrad, Paul F.
AU - Martinez, Jorge
TI - Locally finite conditions on lattice-ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 3
SP - 432
EP - 444
LA - eng
KW - local property; root system; finitely generated; lex-sum; free abelian group; step functions; nilpotent -group
UR - http://eudml.org/doc/13788
ER -

References

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  1. R. Baer, 10.1090/S0002-9947-1945-0015106-X, Trans AMS, Vol. 58, (1946), 295-419. (1946) Zbl0061.02703MR0015106DOI10.1090/S0002-9947-1945-0015106-X
  2. A. Bigard K. Keimel, S. Wolfenstein, Groupes et Anneaux Reticules, LNM 608, Springer; Berlin-Heidelberg-New York (1977). (1977) Zbl0384.06022MR0552653
  3. R. Bleier, 10.1017/S0004972700047286, Bul. Austral. Math. Soc., Vol. 5, (1971), 331-335. (1971) Zbl0216.30502MR0295989DOI10.1017/S0004972700047286
  4. P. Conrad, Lattice-ordered Groups, Tulane University Lecture Notes (1970). (1970) Zbl0258.06011
  5. P. Conrad, 10.1017/S0004972700046232, Bul. Austral. Math. Soc., Vol. 4, (1971), 35-39. (1971) Zbl0199.34703MR0272692DOI10.1017/S0004972700046232
  6. P. Conrad, Epi-archimedean groups, Czech. Math. Journal, 24 (99), (1974), 192 - 218. (1974) Zbl0319.06009MR0347701
  7. H. Hollister, Nilpotent l -groups are representable, Alg. Univ. 8, (1978), 65-71. (1978) Zbl0385.06024MR0465971
  8. V. M. Kopytov, On lattice-ordered, locally nilpotent groups, Alg. & Log., (1975), 14, No. 4, 407-413. (1975) Zbl0356.06024MR0401583
  9. J. Martinez, Torsion theory for lattice-ordered groups, Czech. Math. Jour., 25 (100), (1975), 284-299. (1975) Zbl0321.06020MR0389705
  10. J. Martinez, Pairwise-splitting lattice-ordered groups, Czech. Math. Jour., 27 (102) (1977), 545-551. (1977) Zbl0378.06009MR0457318
  11. J. Martinez, 10.1090/S0002-9947-1980-0561839-7, Trans. AMS, Vol. 259, No. 1, May 1980, 311-317. (1980) Zbl0433.06016MR0561839DOI10.1090/S0002-9947-1980-0561839-7
  12. D. J. S. Robinson, Finiteness conditions and generalized soluble groups, Part 1. Erg. d. Math., Band 62; Springer, Berlin-Heidelberg-New York, 1972. (1972) Zbl0243.20033MR0332989
  13. E. Weinberg, 10.1007/BF01398232, Math. Ann. 151, (1963), 187-199. (1963) Zbl0114.25801MR0153759DOI10.1007/BF01398232

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