| Title:
|
Torsion classes of Specker lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
469-482 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we investigate the relations between torsion classes of Specker lattice ordered groups and torsion classes of generalized Boolean algebras. (English) |
| Keyword:
|
Specker lattice ordered group |
| Keyword:
|
generalized Boolean algebra |
| Keyword:
|
torsion class |
| MSC:
|
06E99 |
| MSC:
|
06F15 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 1012.06018 |
| idMR:
|
MR1923254 |
| . |
| Date available:
|
2009-09-24T10:53:15Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127736 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.Third Edition, Providence, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] P. Conrad: Lattice Ordered Groups.Tulane University, 1970. Zbl 0258.06011 |
| Reference:
|
[3] P. Conrad and M. R. Darnel: Lattice-ordered groups whose lattices determine their additions.Trans. Amer. Math. Soc. 330 (1992), 575–598. MR 1031238, 10.1090/S0002-9947-1992-1031238-0 |
| Reference:
|
[4] P. F. Conrad and M. R. Darnel: Generalized Boolean algebras in lattice-ordered groups.Order 14 (1998), 295–319. MR 1644504, 10.1023/A:1006075129584 |
| Reference:
|
[5] P. F. Conrad and M. R. Darnel: Subgroups and hulls of Specker lattice-ordered groups.Czechoslovak Math. J 51 (2001), 395–413. MR 1844319, 10.1023/A:1013759300701 |
| Reference:
|
[6] P. F. Conrad and D. McAlister: The completion of an $\ell $-group.J. Austral. Math. Soc. 9 (1969), 182–208. MR 0249340 |
| Reference:
|
[7] P. F. Conrad and J. Martinez: Signatures and $S$-discrete lattice ordered groups.Algebra Universalis 29 (1992), 521–545. MR 1201177, 10.1007/BF01190779 |
| Reference:
|
[8] C. Gofman: Remarks on lattice ordered groups and vector lattices. I. Carathéodory functions.Trans. Amer. Math. Soc. 88 (1958), 107–120. MR 0097331 |
| Reference:
|
[9] J. Jakubík: Cardinal properties of lattice ordered groups.Fund. Math. 74 (1972), 85–98. MR 0302528, 10.4064/fm-74-2-85-98 |
| Reference:
|
[10] J. Jakubík: Radical mappings and radical classes of lattice ordered groups.Symposia Math. 21, Academic Press, New York-London, 1977, pp. 451–477. MR 0491397 |
| Reference:
|
[11] J. Jakubík: Radical classes of generalized Boolean algebras.Czechoslovak Math. J. 48 (1998), 253–268. MR 1624315, 10.1023/A:1022885303504 |
| Reference:
|
[12] J. Jakubík: Radical classes of complete lattice ordered groups.Math. Slovaca 49 (1999), 417–424. MR 1719676 |
| Reference:
|
[13] J. Martinez: Torsion theory for lattice ordered groups.Czechoslovak Math. J. 25 (1975), 284–299. Zbl 0321.06020, MR 0389705 |
| . |
