Title:
|
Radical subgroups of lattice ordered groups (English) |
Author:
|
Jakubík, Ján |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
36 |
Issue:
|
2 |
Year:
|
1986 |
Pages:
|
285-297 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
06F15 |
idZBL:
|
Zbl 0605.06013 |
idMR:
|
MR831316 |
DOI:
|
10.21136/CMJ.1986.102092 |
. |
Date available:
|
2008-06-09T15:10:42Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102092 |
. |
Reference:
|
[1] P. Conrad: Lattice ordered groups.Tulane University 1970. Zbl 0258.06011 |
Reference:
|
[2] P. Conrad: K-radical classes of lattice ordered groups. Algebra.Proc. Conf. Carbondale (1980), Lecture Notes Math. 848, 1981, 186-207. MR 0613186 |
Reference:
|
[3] P. Conrad: The lattice of all convex $l$-subgroups of a lattice ordered group.Czech. M. J. 15, 1965, 101-123. Zbl 0135.06301, MR 0173716 |
Reference:
|
[4] L. Fuchs: Partially ordered algebraic systems.Oxford 1963. Zbl 0137.02001, MR 0171864 |
Reference:
|
[5] С. Gofman: Remarks on lattice ordered groups and vector lattices I. Carathéodory functions.Trans. Amer. Math. Soc. 88, 1958, 107-120. MR 0097331 |
Reference:
|
[6] J. Jakubík: Radical mappings and radical classes of lattice ordered groups.Symposia Math., 31 Academic Press, New York-London 1977, 451 - 477. MR 0491397 |
Reference:
|
[7] J. Jakubík: Products of radical classes of lattice ordered groups.Acta Math. Univ. Comen. 39, 1980, 31-42. MR 0619260 |
Reference:
|
[8] J. Jakubík: On K-radical classes of lattice ordered groups.Czech. Math. J. 33, 1983, 149 to 163. MR 0687428 |
Reference:
|
[9] J. Jakubík: Projectable kernel of a lattice ordered group. Universal algebra and applications.Banach Center Publ. Vol. 9, 1982, 105-112. MR 0738807, 10.4064/-9-1-105-112 |
Reference:
|
[10] J. Jakubík: Cardinal properties of lattice ordered groups.Fund. Math. 74, 1972, 85 - 98. MR 0302528, 10.4064/fm-74-2-85-98 |
Reference:
|
[11] R. S. Pierce: Complete Boolean algebras.Proc. Symp. Pure Math., Vol. 2, Amer. Math. Soc., 1961, 129-140. Zbl 0101.27104, MR 0138570 |
Reference:
|
[12] F. Šik: Über die Beziehungen zwischen eigenen Sptizen und minimalen Komponenten einer 1-Gruppe.Acta math. Acad. Sci. Hung. 13, 1962, 83 - 93. MR 0142673 |
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