[1] S. J.  Bernau: Unique representation of Archimedean lattice groups and normal Archimedean lattice rings. Proc. London Math. Soc. 15 (1965), 599–631. MR 0182661

[2] G.  Birkhoff: Lattice Theory. Revised Edition. American Mathematical Society, Providence, 1948. MR 0029876

[3] P.  Conrad: Lattice Ordered Groups. Tulane University, 1970. Zbl 0258.06011

[4] P.  Conrad and D.  McAlister: The completion of a lattice ordered group. J.  Austral. Math. Soc. 9 (1969), 182–208. DOI 10.1017/S1446788700005760 | MR 0249340

[5] J.  Jakubík: Representation and extension of $\ell $-groups. Czechoslovak Math.  J. 13 (1963), 267–283. (Russian) MR 0171865

[6] J.  Jakubík: Konvexe Ketten in $\ell $-Gruppen. Časopis pěst. matem. 84 (1959), 53–63. MR 0104740

[7] J. Jakubík: Die Dedekindschen Schnitte im direkten Product von halbgeordneten Gruppen. Mat. fyz. časopis Slovenskej akad. vied 16 (1966), 329–336. MR 0210638

[8] J.  Jakubík: Distributivity in lattice ordered groups. Czechoslovak Math.  J. 22 (1972), 108–125. MR 0325487

[9] L. V.  Kantorovich, B. Z.  Vulikh and A. G.  Pinsker: Functional Analysis in Semiordered Spaces. Moskva, 1950. (Russian)

[10] M. A.  Lapellere and A.  Valente: Embedding of Archimedean $\ell $-groups in Riesz spaces. Atti Sem. Mat. Fis. Univ. Modena 46 (1998), 249–254. MR 1628633

[11] W. A. J.  Luxemburg and A. C.  Zaanen: Riesz Spaces, Vol. 1. North-Holland Publishing Company, Amsterdam, 1971. MR 0511676

[12] F.  Maeda and T.  Ogasavara: Representation of vector lattices. J.  Hiroshima Univ., Ser. A 12 (1942), 17–35. DOI 10.32917/hmj/1558306491 | MR 0029087

[13] R. S.  Pierce: Distributivity in Boolean algebras. Pacific. J.  Math. 7 (1957), 983–992. DOI 10.2140/pjm.1957.7.983 | MR 0089180 | Zbl 0086.02803

[14] A. G.  Pinsker: Extensions of semiordered groups and spaces. Uch. Zap. Leningrad. Gos. Ped. Inst. 86 (1949), 285–315. (Russian)

[15] R. H.  Redfield: Archimedean and basic elements in completely distributive lattice-ordered groups. Pacific. J.  Math. 63 (1976), 247–253. DOI 10.2140/pjm.1976.63.247 | MR 0412074 | Zbl 0324.06007

[16] R.  Sikorski: Boolean Algebras. Second Edition, Springer Verlag, Berlin, 1964. MR 0177920 | Zbl 0123.01303

[17] E. C.  Smith jr. and A.  Tarski: Higher degrees of distributivity and completeness in Boolean algebras. Trans. Amer. Math. Soc. 84 (1957), 230–257. DOI 10.1090/S0002-9947-1957-0084466-4 | MR 0084466

[18] B. Z.  Vulikh: Introduction to the Theory of Semiordered Spaces. (In Russian; English translation: Introduction to the Theory of Partially Ordered Spaces, Groningen 1967), Moskva, 1961.

[19] K.  Yosida: On the representation of the vector lattice. Proc. Acad. Tokyo 18 (1942), 339–342. MR 0015378 | Zbl 0063.09070