On directed interpolation groups

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1. N. L. Alling, 10.1073/pnas.47.5.711, Proc. Nat. Acad. Sci. U.S.A. 47, 1961, 711-713. (1961) MR0175983DOI10.1073/pnas.47.5.711
2. N. L. Alling, On the existence of real-closed fields that are ${\eta }_{\alpha }$-sets of power ${\aleph }_{\alpha }$, Trans. Amer. Math. Soc. 103, 1962, 341-352. (1962) MR0146089
3. P. Conrad, K-radical classes of lattice ordered groups, Algebra Carbondale 1980, Lecture Notes in Mathematics 848, Springer-Verlag 1981, 196-207. (1980) MR0613186
4. M. Darnel, Closure operators on radicals of lattice ordered groups, Czechoslov. Math. J. 37, 1987, 51-64. (1987) MR0875127
5. I. Fleischer, 10.1073/pnas.50.6.1107, Proc. Nat. Acad. Sci. U.S.A. 50, 1963, 1107-1108. (1963) Zbl0137.02101DOI10.1073/pnas.50.6.1107
6. L. Fuchs, Partially ordered algebraic systems, Pergamon Press, Oxford, 1963. (1963) Zbl0137.02001MR0171864
7. L. Fuchs, Riesz groups, Ann. Scuola Norm. Sup. Pisa, Cl. Sci. (4) 79, 1965, 1-34. (1965) Zbl0125.28703MR0180609
8. K. R. Goodearl, Partially ordered abelian groups with interpolation, American Math. Society, Mathematical Surveys and Monographs, Vol. 20, Providence, 1986. (1986) Zbl0589.06008MR0845783
9. K. R. Goodearl D. E. Handelman J. W. Laurence, Affine representations of Grothendieck groups and applications to Rickat C*-algebras and ${\aleph }_0$-continuous regular rings, Mem. Amer. Math. Soc. No 234, 1980. (1980) MR0571998
10. F. Hausdorff, Grundzüge der Mengenlehre, Leipzig 1914. (1914) 
11. W. C. Holland, Varieties of l-groups are torsion classes, Czechoslov. Math. J. 29, 1979, 11-12. (1979) Zbl0432.06011MR0518135
12. J. Jakubík, Radical classes and radical mappings of lattice ordered groups, Symposia mathematica 31, 1977, Academic Press, New York-London, 451-477. (1977) MR0491397
13. J. Jakubík, Products of radical classes of lattice ordered groups, Acta Math. Univ. Comenianae 39, 1980, 31-42. (1980) MR0619260
14. J. Jakubík, On K-radical classes of lattice ordered groups, Czechoslov. Math. J. 33, 1983, 149-163. (1983) MR0687428
15. J. Jakubík, Radical subgroups of lattice ordered groups, Czechoslov. Math. J. 36, 1986, 285-297. (1986) MR0831316
16. J. Jakubík, Closure operators on the lattice of radical classes of lattice ordered groups, Czechoslov. Math. J. 38, 1988, 71-77. (1988) MR0925941
17. M. Jakubíková, Konvexe gerichtete Untergruppen der Rieszschen Gruppen, . Matem. časopis 21, 1971, 3-8. (1971) MR0302529
18. N. Ja. Medvedev, On the lattice of radicals of a finitely generated l-group, (In Russian.) Math. Slovaca 33, 1983, 185-188. (1983) MR0699088
19. P. Ribenboim, On the existence of totally ordered Abelian groups which are ${\eta }_{\alpha }$-sets, Bull. Acad. Polon. Sci., sér. math., astr., phys. 13, 1965, 545-548. (1965) Zbl0135.06201MR0197591

1. Ján Jakubík, On directed groups with additional operations