Closure operators on radical classes of lattice-ordered groups

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1. Ball R., Conrad P., and Darnel M., Above and Below Subgroups of a Lattice-ordered Group, submitted to Transactions of the American Mathematical Society. A summary of the principal results appears in Ordered Algebraic Structures, published 1985 by Marcel Dekker, edited Wayne Powell and Constantine Tsinakis. (1985) MR0823758
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

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