| Title:
|
Locally conditioned radical classes of lattice-ordered groups (English) |
| Author:
|
Martinez, Jorge |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
42 |
| Issue:
|
1 |
| Year:
|
1992 |
| Pages:
|
25-34 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
06F20 |
| idZBL:
|
Zbl 0767.06016 |
| idMR:
|
MR1152166 |
| DOI:
|
10.21136/CMJ.1992.128303 |
| . |
| Date available:
|
2009-09-24T09:16:29Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128303 |
| . |
| Reference:
|
[AF] M. Anderson, T. Feil: Lattice-Ordered Groups.Kluwer Publ., Dordrecht, Boston, 1988. MR 0937703 |
| Reference:
|
[A] M. Anderson: Subprojectable and localy flat lattice-ordered groups.University of Kansas Dissertation, 1977. |
| Reference:
|
[BCD] R. Ball, P. Conrad, M. Darnel: Above and below subgroups of a lattice-ordered group.Trans. Amer. Math. Soc. 297 (1986), 1–40. MR 0849464, 10.1090/S0002-9947-1986-0849464-7 |
| Reference:
|
[BCW] A. Bigard, P. Conrad, S. Wolfenstein: Compactly generated lattice-ordered groups.Math. Zeitschr. 107 (1968), 201–211. MR 0236083, 10.1007/BF01110258 |
| Reference:
|
[BKW] A. Bigard, K. Keimel, S. Wolfenstein: Groupes et Anneaux Réticulés.Lecture Notes in Math. 608, Springer-Verlag, Berlin, Heidelberg, New York, 1977. MR 0552653 |
| Reference:
|
[BD] J. P. Bixler, M. Darnel: Special-valued $\ell $-groups.Alg. Univ. 22 (1986), 172–191. MR 0870466, 10.1007/BF01224024 |
| Reference:
|
[C1] P. Conrad: The lattice of all convex $\ell $-subgroups of a lattice-ordered group.Czech. Math. Jour. 15 (1965), 101–123. MR 0173716 |
| Reference:
|
[C2] P. Conrad: A characterization of lattice-ordered groups by their convex $\ell $-subgroups.Jour. Austral. Math. Soc. 7 (1967), 145–159, MR 35:5371. MR 0214521, 10.1017/S1446788700005528 |
| Reference:
|
[C3] P. Conrad: Epi-archimedean groups.Czech. Math. Jour. 24 (1974), 1–27. Zbl 0319.06009, MR 0347701 |
| Reference:
|
[C4] P. Conrad: $K$-radical classes of lattice-ordered groups.Lecture Notes in Math. 848, Springer-Verlag, 1980, pp. 186–206. MR 0613186 |
| Reference:
|
[CM1] P. Conrad, J. Martinez: Locally finite conditions on lattice-ordered groups.Czech. Math. Jour. 39 (1989), 432–444. MR 1006308 |
| Reference:
|
[CM2] P. Conrad, J. Martinez: Signatures and $S$-discrete lattice-ordered groups.Alg. Univ (to appear). MR 1201177 |
| Reference:
|
[H] W. C. Holland: Varieties of lattice-ordered groups are torsion classes.Czech. Math. Jour. 29 (1979), 11–12. |
| Reference:
|
[Ke] G. O. Kenny: Lattice-Ordered Groups.University of Kansas Dissertation, 1975. |
| Reference:
|
[M1] J. Martinez: The hyper-archimedean kernel sequence of a lattice-ordered group.Bull. Austral. Math. Soc. 10 (1974), 337–350. Zbl 0275.06026, MR 0349524, 10.1017/S0004972700041022 |
| Reference:
|
[M2] J. Martinez: Torsion theory for lattice-ordered groups.Czech. Math. Jour. 25 (1975), 284–299. Zbl 0321.06020, MR 0389705 |
| Reference:
|
[M3] J. Martinez: Pairwise-splitting lattice-ordered groups.Czech. Math. Jour. 27 (1977), 545–551. Zbl 0378.06009, MR 0457318 |
| Reference:
|
[M4] J. Martinez: The closed subgroup problem for lattice-ordered groups.Archiv. der Math. 54 (1990), 212–224. Zbl 0682.06011, MR 1037608, 10.1007/BF01188514 |
| Reference:
|
[Š] F. Šik: Zur theorie der halbgeordnete Gruppen.Czech. Math. Jour. 10 (1960), 400–424. |
| . |
