Prime selectors in lattice-ordered groups

Jorge Martinez

Czechoslovak Mathematical Journal (1981)

  • Volume: 31, Issue: 2, page 206-217
  • ISSN: 0011-4642

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Martinez, Jorge. "Prime selectors in lattice-ordered groups." Czechoslovak Mathematical Journal 31.2 (1981): 206-217. <http://eudml.org/doc/13253>.

@article{Martinez1981,
author = {Martinez, Jorge},
journal = {Czechoslovak Mathematical Journal},
keywords = {prime selector; lattice ordered group; prime subgroups; torsion class; hyperarchimedean l-groups},
language = {eng},
number = {2},
pages = {206-217},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Prime selectors in lattice-ordered groups},
url = {http://eudml.org/doc/13253},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Martinez, Jorge
TI - Prime selectors in lattice-ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 2
SP - 206
EP - 217
LA - eng
KW - prime selector; lattice ordered group; prime subgroups; torsion class; hyperarchimedean l-groups
UR - http://eudml.org/doc/13253
ER -

References

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  1. P. Conrad, Lattice-Ordered Groups;, Lecture Notes, Tulane University, (1970). (1970) Zbl0258.06011
  2. P. Conrad, Epi-archimedean groups;, Czech. Math. Jour. 24 (99), (1974), 192-218. (1974) Zbl0319.06009MR0347701
  3. P. Conrad, Torsion radicals of lattice-ordered groups;, Sympos. Math. 21 (1977), 479-513. (1977) Zbl0372.06011MR0465969
  4. С. Holland, Varieties of l-groups are torsion classes;, Czech. Math. Jour. 29 (1979), 11-12. (1979) Zbl0432.06011MR0518135
  5. С. Holland J. Martinez, 10.1007/BF02488030, Algebra Universalis 9 (1979), 199-206. (1979) MR0523933DOI10.1007/BF02488030
  6. J. Martinez, Free products in varieties of lattice-ordered groups;, Czech. Math. Jour., 22 (97), (1972), 535-553. (1972) Zbl0247.06022MR0311536
  7. J. Martinez, 10.1007/BF02945124, Algebra Universalis, Vol. 3, fasc. 2, (1973), 247-260. (1973) Zbl0317.06004MR0349503DOI10.1007/BF02945124
  8. J. Martinez, 10.1090/S0002-9947-1973-0332614-X, Trans. AMS, 186 (1973), 33-49. (1973) MR0332614DOI10.1090/S0002-9947-1973-0332614-X
  9. J. Martinez, Nilpotent lattice-ordered groups;, to appear, Algebra Universalis. Zbl0426.06012MR0544857
  10. J. Martinez, Torsion theory for lattice-ordered groups;, Czech. Math. Jour. 25 (100), (1975), 284-299. (1975) Zbl0321.06020MR0389705
  11. J. Martinez, Torsion theory for lattice-ordered groups;, Part 11: homogeneous l-groups; Czech. Math. Jour. 26 (101), (1976), 93-100. (1976) Zbl0331.06009MR0389706
  12. J. Martinez, Is the lattice of torsion classes algebraic?, Proc AMS, Vol 63, No. 1, (March 1977), 9-14. (1977) Zbl0376.06019MR0552652
  13. J. Martinez, A general theory of torsion classes for lattice-ordered groups;, Lecture Notes, University of Florida. 
  14. 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

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