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Bibliography
R. Balbes, Projective and injective distributive lattices, Pacific J. Math. 21: 405–420 (1967).
R. Balbes and P. Dwinger, Distributive Lattices, University of Missouri Press, 1974.
R. Ball, The α-completion of a lattice ordered group II, in preparation.
R. Ball, Convergence and Cauchy structures on lattice ordered groups, Trans. Amer. Math. Soc., to appear.
R. Ball, Cut completions of lattice ordered groups by Cauchy constructions, Ordered Groups — Proceedings of the Boisc State Conference, Marcel Dekker, 1980.
R. Ball, The generalized orthocompletion of an arbitrary lattice ordered group, in preparation.
R. Ball and G. Davis, The α-completion of a lattice ordered group, to appear.
S. Bernau, The lateral completion of an arbitrary lattice group, J. Australian Math. Soc. 19A: 263–289 (1975).
S. Bernau, Orthocompletions of lattice groups, Proc. London Math. Soc. 16: 107–130 (1966).
A. Blass, Injectivity, projectivity, and the axiom of choice, Trans. Amer. Math. Soc. 255: 31–59 (1979).
P. Conrad, The essential closure of an archimedean lattice-ordered group, Duke Math. J. 38: 151–160 (1971).
P. Conrad, The hulls of representable l-groups and f-rings, J. Australian Math. Soc. 16: 385–415 (1973).
P. Conrad, The lateral completion of a lattice ordered group, Proc. London Math. Soc. (3) 19: 444–480 (1969).
P. Conrad and D. McAlister, The completion of a lattice ordered group, J. Australian Math. Soc. 9: 182–208 (1969).
W. Peremans, Embedding of a distributive lattice into a Boolean algebra, Indag. Math. 60: 73–81 (1957).
R. Sikorski, A theorem on extensions of homomorphisms, Ann. Soc. Pol. Math. 21: 332–335 (1948).
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© 1981 Springer-Verlag
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Ball, R.N. (1981). The distinguished completion of a lattice ordered group. In: Amayo, R.K. (eds) Algebra Carbondale 1980. Lecture Notes in Mathematics, vol 848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090567
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DOI: https://doi.org/10.1007/BFb0090567
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