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Literature Cited
L. V. Kantorovich, “Partially ordered linear spaces and their applications in the theory of linear operators,” Dokl. Akad. Nauk SSSR,4, No. 1, 11–14 (1935).
L. V. Kantorovich, “On the properties of partially ordered linear spaces,” Compts. Rends, Acad. Sci. Paris,202, 813–816 (1936).
P. Cohen, Universal Algebra [Russian translation], Mir (1968).
A. I. Veksler, “The concept of normal in itself linear lattice and some applications in the theory of linear and normed linear lattices,” Izv. Vuzov. Matem., No. 4, 13–22 (1966).
R. Sikorskii Boolean Algebras [Russian translation], Mir (1969).
S. J. Bernau, “Orthocompletion of lattice groups,” Proc. London Math. Soc.,16, No. 1, 107–130 (1966).
P. Conrad, “The lateral completion of a lattice-ordered group,” Proc. London Math. Soc.,19, No. 3, 444–480 (1969).
B. Z. Vulikh, Introduction to the Theory of Partially Ordered Spaces [in Russian], Fizmatgiz (1961).
A. I. Veksler, “Realization of Archimedian K-lineals,” Sibirsk. Matem. Zh.,3, No. 1, 7–16 (1962).
L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Partially Ordered Spaces [in Russian], Gos. Izd. Tekh.-Teoret. Lit. Moscow-Leningrad (1950).
A. I. Veksler, “Localness of functional vector lattices,” Sibirsk. Matem. Zh.,12, No. 1, 54–64 (1971).
A. I. Veksler, “Banach and Dedekind completeness of spaces of continuous functions, vector lattices and maximal quotient rings,” Dokl. Akad. Nauk SSSR,196 No. 1, 20–23 (1971).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 13, No. 1, pp. 43–51, January–February, 1972.
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Veksler, A.I., Geiler, V.A. Order and disjoint completeness of linear partially ordered spaces. Sib Math J 13, 30–35 (1972). https://doi.org/10.1007/BF00967635
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DOI: https://doi.org/10.1007/BF00967635