Title:
|
Prime selectors and torsion classes of lattice ordered groups (English) |
Author:
|
Jakubík, Ján |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
31 |
Issue:
|
2 |
Year:
|
1981 |
Pages:
|
325-337 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
06F15 |
idZBL:
|
Zbl 0473.06012 |
idMR:
|
MR611086 |
DOI:
|
10.21136/CMJ.1981.101748 |
. |
Date available:
|
2008-06-09T14:44:17Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101748 |
. |
Reference:
|
[1] P. Conrad: Lattice ordered groups.Tulane University, 1970. Zbl 0258.06011 |
Reference:
|
[2] P. Conrad: Some structure theorems for lattice ordered groups.Trans. Amer. Soc. 99 (1961), 1-29. Zbl 0099.25401, MR 0121405, 10.1090/S0002-9947-1961-0121405-2 |
Reference:
|
[3] P. Conrad: Torsion radicals of lattice ordered groups.Symposia Math. 31 (1977), 479-513, Zbl 0372.06011, MR 0465969 |
Reference:
|
[4] Л. Фукс: Частично упорядоченные алгебраические системы.Москва 1965. Zbl 1099.01519 |
Reference:
|
[5] С. Holland: Varieties of l-groups are torsion classes.Czech. Math. J. 29 (1979), 11-12. Zbl 0432.06011, MR 0518135 |
Reference:
|
[6] С. Holland J. Martinez: Accessibility of torsion classes.Algebra universalis 9 (1979), 199-206. MR 0523933, 10.1007/BF02488030 |
Reference:
|
[7] J. Jakbík: Distributivity in lattice ordered groups.Czech. Math. J. 22 (1972), 108-125. MR 0325487 |
Reference:
|
[8] J. Jakubík: Products of torsion classes of lattice ordered groups.Czech. Math. J. 25 (1975), 576-585. MR 0387152 |
Reference:
|
[9] J. Jakubík: Radical classes and radical mappings of lattice ordered groups.Symposia Math. 31 (1977), 451-477. MR 0491397 |
Reference:
|
[10] J. Jakubík: Products of radical classes of lattice ordered groups.Acta Math. Univ. Comen. 39 (1980), 31-34. MR 0619260 |
Reference:
|
[11] J. Jakubík: Torsion radicals of lattice ordered groups.Czech. Math. J. (to appear). MR 0669776 |
Reference:
|
[12] J. Jakubík: On value selectors and torsion classes of lattice ordered groups.Czech. Math. J. 31 (1981), 306-313. MR 0611083 |
Reference:
|
[13] J. Martinez: Torsion theory for lattice ordered groups.Czech. Math. J. 25 (1975), 284-299. Zbl 0321.06020, MR 0389705 |
Reference:
|
[14] J. Martinez: Torsion theory for lattice ordered groups. Part II: Homogeneous l-groups.Czech. Math. J. 26 (1976), 93-100. MR 0389706 |
Reference:
|
[15] J. Martinez: Is the lattice of torsion classes algebraic?.Proc. Amer. Math. Soc. 63 (1977), 9-14. Zbl 0376.06019, MR 0552652, 10.1090/S0002-9939-1977-0552652-0 |
Reference:
|
[16] J. Martinez: Prime selectors in lattice ordered groups.Czech. Math. J. (to appear). Zbl 0504.06012, MR 0611076 |
. |