Torsion radicals of lattice ordered groups

Ján Jakubík

Czechoslovak Mathematical Journal (1982)

  • Volume: 32, Issue: 3, page 347-363
  • ISSN: 0011-4642

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Jakubík, Ján. "Torsion radicals of lattice ordered groups." Czechoslovak Mathematical Journal 32.3 (1982): 347-363. <http://eudml.org/doc/13319>.

@article{Jakubík1982,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {torsion class of lattice groups; solid subgroups; torsion radical; totally ordered groups; principal torsion classes; principal torsion radical; principal covers; covering radicals},
language = {eng},
number = {3},
pages = {347-363},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Torsion radicals of lattice ordered groups},
url = {http://eudml.org/doc/13319},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Jakubík, Ján
TI - Torsion radicals of lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 3
SP - 347
EP - 363
LA - eng
KW - torsion class of lattice groups; solid subgroups; torsion radical; totally ordered groups; principal torsion classes; principal torsion radical; principal covers; covering radicals
UR - http://eudml.org/doc/13319
ER -

References

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  1. G. Birkhoff, Lattice theory, Third Edition, Providence 1967. (1967) Zbl0153.02501MR0227053
  2. P. Conrad, Lattice ordered groups, Tulane University, 1970. (1970) Zbl0258.06011
  3. P. Conrad, Torsion radicals of lattice ordered groups, Symposia math. 21 (1977), 480-513. (1977) Zbl0372.06011MR0465969
  4. Л. Фукс, Частично упорядоченные алгебраические системы, Москва 1965. (1965) Zbl1099.01519
  5. Р. Holland, Varieties of 1-group are torsion classes, Czech. Math. J. 29 (1979), 11-12. (1979) MR0518135
  6. J. Jakubík, Über Verbandsgruppen mit zwei Erzeugenden, Czech. Mat. J. 14 (1964), 444-454. (1964) MR0170962
  7. J. Jakubík, 10.4064/fm-74-2-85-98, Fund. Math. 74 (1972), 85 - 98. (1972) MR0302528DOI10.4064/fm-74-2-85-98
  8. .J. Jakubík, Products of torsion classes of lattice ordered groups, Czech. Math. J. 25 (1975), 576-585. (1975) MR0387152
  9. J. Jakubík, Radical mappings and radical classes of lattice ordered groups, Symposia math. 21 (1977), 451-477. (1977) MR0491397
  10. J. Jakubík, Products of radical classes of lattice ordered groups, Acta fac. rer. nat. Univ. Comen. Mathem. 39 (1980), 31-42. (1980) MR0619260
  11. M. Якубикова, О некоторых подгруппах l -групп, Matem. časop. 12 (1962), 97-107. (1962) Zbl0271.28006
  12. J. Martinez, Torsion theory for lattice ordered groups, Czech. Math. J. 25 (1975), 284-299. (1975) Zbl0321.06020MR0389705
  13. J. Martinez, Torsion theory for lattice ordered groups. Part II: Homogeneous l-groups, Czech. Math. J. 26 (1976), 93-100. (1976) MR0389706

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