Complete distributivity of lattice ordered groups and of vector lattices

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1. Unique representation of Archimedean lattice groups and normal Archimedean lattice rings, Proc. London Math. Soc. 15 (1965), 599–631. (1965) MR0182661
2. Lattice Theory. Revised Edition, American Mathematical Society, Providence, 1948. (1948) MR0029876
3. Lattice Ordered Groups, Tulane University, 1970. (1970) Zbl0258.06011
4. 10.1017/S1446788700005760, J.  Austral. Math. Soc. 9 (1969), 182–208. (1969) MR0249340DOI10.1017/S1446788700005760
5. Representation and extension of $\ell$-groups, Czechoslovak Math.  J. 13 (1963), 267–283. (Russian) (1963) MR0171865
6. Konvexe Ketten in $\ell$-Gruppen, Časopis pěst. matem. 84 (1959), 53–63. (1959) MR0104740
7. Die Dedekindschen Schnitte im direkten Product von halbgeordneten Gruppen, Mat. fyz. časopis Slovenskej akad. vied 16 (1966), 329–336. (1966) MR0210638
8. Distributivity in lattice ordered groups, Czechoslovak Math.  J. 22 (1972), 108–125. (1972) MR0325487
9. Functional Analysis in Semiordered Spaces, Moskva, 1950. (Russian) (1950) 
10. Embedding of Archimedean $\ell$-groups in Riesz spaces, Atti Sem. Mat. Fis. Univ. Modena 46 (1998), 249–254. (1998) MR1628633
11. Riesz Spaces, Vol. 1, North-Holland Publishing Company, Amsterdam, 1971. (1971) MR0511676
12. 10.32917/hmj/1558306491, J.  Hiroshima Univ., Ser. A 12 (1942), 17–35. (1942) MR0029087DOI10.32917/hmj/1558306491
13. 10.2140/pjm.1957.7.983, Pacific. J.  Math. 7 (1957), 983–992. (1957) Zbl0086.02803MR0089180DOI10.2140/pjm.1957.7.983
14. Extensions of semiordered groups and spaces, Uch. Zap. Leningrad. Gos. Ped. Inst. 86 (1949), 285–315. (Russian) (1949) 
15. 10.2140/pjm.1976.63.247, Pacific. J.  Math. 63 (1976), 247–253. (1976) Zbl0324.06007MR0412074DOI10.2140/pjm.1976.63.247
16. Boolean Algebras, Second Edition, Springer Verlag, Berlin, 1964. (1964) Zbl0123.01303MR0177920
17. 10.1090/S0002-9947-1957-0084466-4, Trans. Amer. Math. Soc. 84 (1957), 230–257. (1957) MR0084466DOI10.1090/S0002-9947-1957-0084466-4
18. Introduction to the Theory of Semiordered Spaces, (In Russian; English translation: Introduction to the Theory of Partially Ordered Spaces, Groningen 1967), Moskva, 1961. (1961) 
19. On the representation of the vector lattice, Proc. Acad. Tokyo 18 (1942), 339–342. (1942) Zbl0063.09070MR0015378

1. Ján Jakubík, Regular representations of semisimple MV-algebras by continuous real functions
2. Ján Jakubík, On the distributive radical of an Archimedean lattice-ordered group