Closure operators on radical classes of lattice-ordered groups

Michael R. Darnel

Czechoslovak Mathematical Journal (1987)

  • Volume: 37, Issue: 1, page 51-64
  • ISSN: 0011-4642

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Darnel, Michael R.. "Closure operators on radical classes of lattice-ordered groups." Czechoslovak Mathematical Journal 37.1 (1987): 51-64. <http://eudml.org/doc/13620>.

@article{Darnel1987,
author = {Darnel, Michael R.},
journal = {Czechoslovak Mathematical Journal},
keywords = {-groups; upper product; P-product; radical classes; radical kernel; closed-kernel radical class; polars; p-closure operator; lattice of radical classes; pseudocomplemented lattice; skeletal elements; product of radical classes},
language = {eng},
number = {1},
pages = {51-64},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Closure operators on radical classes of lattice-ordered groups},
url = {http://eudml.org/doc/13620},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Darnel, Michael R.
TI - Closure operators on radical classes of lattice-ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 1
SP - 51
EP - 64
LA - eng
KW - -groups; upper product; P-product; radical classes; radical kernel; closed-kernel radical class; polars; p-closure operator; lattice of radical classes; pseudocomplemented lattice; skeletal elements; product of radical classes
UR - http://eudml.org/doc/13620
ER -

References

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  2. Bigard A., Keimel K., and Wolfenstein S., Groupes et Anneaux Réticulés, Lecture Notes in Mathematics 608, Springer Verlag, 1977. (1977) MR0552653
  3. Birkhoff G., Lattice Theory, AMS Colloquium Publications 25, 1979. (1979) Zbl0505.06001MR0598630
  4. Bixler J. P., Darnel M., Special-valued l-groups, to appear in Algebra Universalis. MR0870466
  5. Bleier R., Conrad P., 10.2140/pjm.1973.47.329, Pacific Journal of Mathematics, 47 (2) (1973), 329-340. (1973) MR0325486DOI10.2140/pjm.1973.47.329
  6. Conrad P., Lattice-ordered Groups, Tulane Lecture Notes, Tulane University, 1970. (1970) Zbl0258.06011
  7. Conrad P., The Essential Closure of an Archimedean l-group, Duke Math. J., 38 (1971), 151-160. (1971) MR0277457
  8. Conrad P., Epi-archimedean l-groups, Czech. Math. J., 24 (99) (1974), 192-218. (1974) MR0347701
  9. Conrad P., Torsion Radicals of Lattice-ordered Groups, Symposia Mathematica 21, Academic Press, 1977, 479-513. (1977) Zbl0372.06011MR0465969
  10. Conrad P., K-radical Classes of Lattice-ordered Groups, Algebra Carbondale 1980, Lecture Notes in Mathematics 848, Springer-Verlag, 1980. (1980) MR0613186
  11. Holland W. C, 10.1307/mmj/1028998976, Michigan Math. J., 10 (1963), 399-408. (1963) MR0158009DOI10.1307/mmj/1028998976
  12. Hollnad W. C, Varieties of l-groups are Torsion Classes, Czech. Math. J., 29 (104) (1979), 11-12. (1979) MR0518135
  13. Holland W. C., McCleary S., 10.2140/pjm.1969.31.703, Pacific J. Math., 31 (1969), 703-716. (1969) Zbl0206.31804MR0258704DOI10.2140/pjm.1969.31.703
  14. Jakubík J., Radical Mappings and Radical Classes of Lattice-ordered Groups, Symposia Mathematica 21, Academic Press, 1977, 451-477. (1977) MR0491397
  15. Jakubík J., Products of Radical Classes of Lattice-ordered Groups, Acta Mathematica Comnenianae, 39 (1980), 31 - 41. (1980) MR0619260
  16. Kenny G. O., Lattice-ordered Groups, PhD dissertation. University of Kansas, 1975. (1975) 
  17. Martinez J., 10.1007/BF01214370, Math. Zeit., 137 (1974), 265-284. (1974) Zbl0274.20034MR0354483DOI10.1007/BF01214370
  18. Martinez J., Torsion Theory for l-groups, I, Czech. Math. J., 25 (100) (1975), 284-294. (1975) MR0389705
  19. Read J., 10.4153/CMB-1974-129-8, Can. Math. Bull., 17 (5) (1975), 713-722. (1975) Zbl0313.06012MR0384642DOI10.4153/CMB-1974-129-8
  20. Walker R., The Stone-Cech Compactification, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 83, Springer-Verlag, 1977. (1977) MR0380698
  21. Weinberg E. C, 10.1007/BF01398232, Math. Ann., 151 (1963), 187-199. (1963) Zbl0114.25801MR0153759DOI10.1007/BF01398232

Citations in EuDML Documents

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  1. Ján Jakubík, On a radical class of lattice ordered groups
  2. Ján Jakubík, On torsion classes generated by radical classes of lattice ordered groups
  3. Mária Csontóová, Štefan Černák, Miroslav Ploščica, Seventy years of Professor Ján Jakubík
  4. Ján Jakubík, Closure operators on the lattice of radical classes of lattice ordered groups
  5. Dao Rong Tong, Atoms in lattice of radical classes of lattice-ordered groups
  6. Dao Rong Tong, Product radical classes of -groups
  7. Ján Jakubík, Radical classes of complete lattice ordered groups
  8. Ján Jakubík, Closed convex l -subgroups and radical classes of convergence l -groups
  9. Ján Jakubík, On directed interpolation groups
  10. Ján Jakubík, K -radical classes of abelian linearly ordered groups

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