Minimal prime subgroups of lattice-ordered groups

Paul F. Conrad

Czechoslovak Mathematical Journal (1980)

  • Volume: 30, Issue: 2, page 280-295
  • ISSN: 0011-4642

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Conrad, Paul F.. "Minimal prime subgroups of lattice-ordered groups." Czechoslovak Mathematical Journal 30.2 (1980): 280-295. <http://eudml.org/doc/13197>.

@article{Conrad1980,
author = {Conrad, Paul F.},
journal = {Czechoslovak Mathematical Journal},
keywords = {pretorsion class of l-groups; torsion class of l-groups; convex l- subgroup; minimal prime subgroups},
language = {eng},
number = {2},
pages = {280-295},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Minimal prime subgroups of lattice-ordered groups},
url = {http://eudml.org/doc/13197},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Conrad, Paul F.
TI - Minimal prime subgroups of lattice-ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 2
SP - 280
EP - 295
LA - eng
KW - pretorsion class of l-groups; torsion class of l-groups; convex l- subgroup; minimal prime subgroups
UR - http://eudml.org/doc/13197
ER -

References

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  1. A. Bigard, Contribution a la theorie des groupes reticules, These, University Paris, (1969). (1969) MR0250950
  2. R. Byrd, 10.2140/pjm.1967.20.423, Pacific J. Math. 20 (1967), 423-432. (1967) Zbl0178.02902MR0207866DOI10.2140/pjm.1967.20.423
  3. R. Byrd, T. Lloyd, 10.1007/BF01136029, Math Zeitschr. 101 (1967) 123-130. (1967) Zbl0178.02902MR0218284DOI10.1007/BF01136029
  4. P. Conrad, 10.1090/S0002-9947-1961-0121405-2, Trans. Amer. Math. Soc. 99 (1961), 212-240. (1961) Zbl0099.25401MR0121405DOI10.1090/S0002-9947-1961-0121405-2
  5. P. Conrad J. Harvey, C. Holland, 10.1090/S0002-9947-1963-0151534-0, Trans. Amer. Math. Soc. 108 (1963), 143-169. (1963) Zbl0126.05002MR0151534DOI10.1090/S0002-9947-1963-0151534-0
  6. P. Conrad, The lattice of all convex l -subgroups of a lattice-ordered group, Czech. Math. J. 15 (1965), 101-123. (1965) Zbl0135.06301MR0173716
  7. P. Conrad, Lex-subgroups of lattice-ordered groups, Czech. Math. J. 18 (1968), 86-103. (1968) Zbl0155.05902MR0225697
  8. P. Conrad A. Bigard, S. Wolfenstein, 10.1007/BF01110258, Math. Zeit. 107 (1968), 201-211. (1968) Zbl0182.36202MR0236083DOI10.1007/BF01110258
  9. P. Conrad, D. McAlister, 10.1017/S1446788700005760, J. Australian Math. Soc. 9 (1969), 182-208. (1969) Zbl0172.31601MR0249340DOI10.1017/S1446788700005760
  10. P. Conrad, Lattice-ordered groups, Lecture notes, Tulane Math. Library (1970). (1970) Zbl0258.06011
  11. P. Conrad, R. Bleier, 10.2140/pjm.1973.47.329, Pacific J. Math. 47 (1973), 329-340. (1973) Zbl0238.06012MR0325486DOI10.2140/pjm.1973.47.329
  12. P. Conrad, P. Montgomery, Lattice-ordered groups with rank over components, Czech. Math. J. 25 (1975), 445-453. (1975) Zbl0328.06015MR0387147
  13. P. Conrad, Torsion radicals of lattice-ordered groups, Symposia Mathematica, Vol. XXI (1977), 479-513. (1977) Zbl0372.06011MR0465969
  14. J. Martinez, 10.1007/BF01214370, Math. Zeitschr. 137 (1974), 265-284. (1974) Zbl0274.20034MR0354483DOI10.1007/BF01214370
  15. J. Martinez, Torsion theory for lattice-ordered groups, Czech. Math. J. 25 (1975), 284-299. (1975) Zbl0321.06020MR0389705
  16. J. Martinez, Torsion theory for lattice-ordered groups. Part II: Homogeneous l -groups, To appear. Zbl0331.06009MR0389705
  17. F. Petersen, Contributions to the theory of regular and prime subgroups of lattice-ordered groups, Dissertation Tulane University (1967). (1967) 
  18. F. Šik, Sous-groupes simples et ideaux simples des groupes réticulés, С. R. Acad. Sci. Paris 261 (1965), 2791-2793. (1965) Zbl0135.06302MR0194528

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