@article{10_21136_CMJ_1990_102418,
author = {Jakub{\'\i}k, J\'an},
title = {On directed interpolation groups},
journal = {Czechoslovak Mathematical Journal},
pages = {648--658},
year = {1990},
volume = {40},
number = {4},
doi = {10.21136/CMJ.1990.102418},
mrnumber = {1084900},
zbl = {0757.06007},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1990.102418/}
}
Jakubík, Ján. On directed interpolation groups. Czechoslovak Mathematical Journal, Tome 40 (1990) no. 4, pp. 648-658. doi: 10.21136/CMJ.1990.102418
[1] N. L. Alling: A characterization of abelian $\eta \sb{\alpha }$-groups in terms of their natural valuations. Proc. Nat. Acad. Sci. U.S.A. 47, 1961, 711-713. | DOI | MR
[2] N. L. Alling: On the existence of real-closed fields that are $\eta \sb{\alpha }$-sets of power $\aleph \sb{\alpha }$. Trans. Amer. Math. Soc. 103, 1962, 341-352. | MR
[3] P. Conrad: K-radical classes of lattice ordered groups. Algebra Carbondale 1980, Lecture Notes in Mathematics 848, Springer-Verlag 1981, 196-207. | MR
[4] M. Darnel: Closure operators on radicals of lattice ordered groups. Czechoslov. Math. J. 37, 1987, 51-64. | MR
[5] I. Fleischer: A characterization of lexicographically ordered $\eta \sb{\alpha }$-sets. Proc. Nat. Acad. Sci. U.S.A. 50, 1963, 1107-1108. | DOI | Zbl
[6] L. Fuchs: Partially ordered algebraic systems. Pergamon Press, Oxford, 1963. | MR | Zbl
[7] L. Fuchs: Riesz groups. Ann. Scuola Norm. Sup. Pisa, Cl. Sci. (4) 79, 1965, 1-34. | MR | Zbl
[8] K. R. Goodearl: Partially ordered abelian groups with interpolation. American Math. Society, Mathematical Surveys and Monographs, Vol. 20, Providence, 1986. | MR | Zbl
[9] K. R. Goodearl D. E. Handelman J. W. Laurence: Affine representations of Grothendieck groups and applications to Rickat C*-algebras and $\aleph \sb{0}$-continuous regular rings. Mem. Amer. Math. Soc. No 234, 1980. | MR
[10] F. Hausdorff: Grundzüge der Mengenlehre. Leipzig 1914.
[11] W. C. Holland: Varieties of l-groups are torsion classes. Czechoslov. Math. J. 29, 1979, 11-12. | MR | Zbl
[12] J. Jakubík: Radical classes and radical mappings of lattice ordered groups. Symposia mathematica 31, 1977, Academic Press, New York-London, 451-477. | MR
[13] J. Jakubík: Products of radical classes of lattice ordered groups. Acta Math. Univ. Comenianae 39, 1980, 31-42. | MR
[14] J. Jakubík: On K-radical classes of lattice ordered groups. Czechoslov. Math. J. 33, 1983, 149-163. | MR
[15] J. Jakubík: Radical subgroups of lattice ordered groups. Czechoslov. Math. J. 36, 1986, 285-297. | MR
[16] J. Jakubík: Closure operators on the lattice of radical classes of lattice ordered groups. Czechoslov. Math. J. 38, 1988, 71-77. | MR
[17] M. Jakubíková: Konvexe gerichtete Untergruppen der Rieszschen Gruppen. Matem. časopis 21, 1971, 3-8. | MR
[18] N. Ja. Medvedev: On the lattice of radicals of a finitely generated l-group. (In Russian.) Math. Slovaca 33, 1983, 185-188. | MR
[19] P. Ribenboim: On the existence of totally ordered Abelian groups which are $\eta \sb{\alpha }$-sets. Bull. Acad. Polon. Sci., sér. math., astr., phys. 13, 1965, 545-548. | MR | Zbl
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