| Title:
|
Closure operators on radical classes of lattice-ordered groups (English) |
| Author:
|
Darnel, Michael R. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
1987 |
| Pages:
|
51-64 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0624.06022 |
| idMR:
|
MR875127 |
| DOI:
|
10.21136/CMJ.1987.102134 |
| . |
| Date available:
|
2008-06-09T15:14:14Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102134 |
| . |
| Reference:
|
[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. MR 0823758 |
| Reference:
|
[2] Bigard A., Keimel K., and Wolfenstein S.: Groupes et Anneaux Réticulés.Lecture Notes in Mathematics 608, Springer Verlag, 1977. MR 0552653 |
| Reference:
|
[3] Birkhoff G.: Lattice Theory.AMS Colloquium Publications 25, 1979. Zbl 0505.06001, MR 0598630 |
| Reference:
|
[4] Bixler J. P., Darnel M.: Special-valued l-groups.to appear in Algebra Universalis. MR 0870466 |
| Reference:
|
[5] Bleier R., Conrad P.: The Lattice of Closed l-idelas and a*-extensions of an Abelian l-group.Pacific Journal of Mathematics, 47 (2) (1973), 329-340. MR 0325486, 10.2140/pjm.1973.47.329 |
| Reference:
|
[6] Conrad P.: Lattice-ordered Groups.Tulane Lecture Notes, Tulane University, 1970. Zbl 0258.06011 |
| Reference:
|
[7] Conrad P.: The Essential Closure of an Archimedean l-group.Duke Math. J., 38 (1971), 151-160. MR 0277457 |
| Reference:
|
[8] Conrad P.: Epi-archimedean l-groups.Czech. Math. J., 24 (99) (1974), 192-218. MR 0347701 |
| Reference:
|
[9] Conrad P.: Torsion Radicals of Lattice-ordered Groups.Symposia Mathematica 21, Academic Press, 1977, 479-513. Zbl 0372.06011, MR 0465969 |
| Reference:
|
[10] Conrad P.: K-radical Classes of Lattice-ordered Groups.Algebra Carbondale 1980, Lecture Notes in Mathematics 848, Springer-Verlag, 1980. MR 0613186 |
| Reference:
|
[11] Holland W. C: The Lattice-ordered Group of Automorphisms of an Ordered Set.Michigan Math. J., 10 (1963), 399-408. MR 0158009, 10.1307/mmj/1028998976 |
| Reference:
|
[12] Hollnad W. C: Varieties of l-groups are Torsion Classes.Czech. Math. J., 29 (104) (1979), 11-12. MR 0518135 |
| Reference:
|
[13] Holland W. C., McCleary S.: Wreath Products of Ordered Permutation Groups.Pacific J. Math., 31 (1969), 703-716. Zbl 0206.31804, MR 0258704, 10.2140/pjm.1969.31.703 |
| Reference:
|
[14] Jakubík J.: Radical Mappings and Radical Classes of Lattice-ordered Groups.Symposia Mathematica 21, Academic Press, 1977, 451-477. MR 0491397 |
| Reference:
|
[15] Jakubík J.: Products of Radical Classes of Lattice-ordered Groups.Acta Mathematica Comnenianae, 39 (1980), 31 - 41. MR 0619260 |
| Reference:
|
[16] Kenny G. O.: Lattice-ordered Groups.PhD dissertation. University of Kansas, 1975. |
| Reference:
|
[17] Martinez J.: Varieties of Lattice-ordered Groups.Math. Zeit., 137 (1974), 265-284. Zbl 0274.20034, MR 0354483, 10.1007/BF01214370 |
| Reference:
|
[18] Martinez J.: Torsion Theory for l-groups, I.Czech. Math. J., 25 (100) (1975), 284-294. MR 0389705 |
| Reference:
|
[19] Read J.: Wreath Products of Nonoverlapping Lattice-ordered Groups.Can. Math. Bull., 17 (5) (1975), 713-722. Zbl 0313.06012, MR 0384642, 10.4153/CMB-1974-129-8 |
| Reference:
|
[20] Walker R.: The Stone-Cech Compactification, Ergebnisse der Mathematik und ihrer Grenzgebiete.Band 83, Springer-Verlag, 1977. MR 0380698 |
| Reference:
|
[21] Weinberg E. C: Free Lattice-ordered Abelian Groups.Math. Ann., 151 (1963), 187-199. Zbl 0114.25801, MR 0153759, 10.1007/BF01398232 |
| . |
