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The lateral completion of an arbitrary lattice-ordered group (Bernau’s proof revisited). (English) Zbl 0427.06007

MSC:
06F15 Ordered groups
06B23 Complete lattices, completions
06B20 Varieties of lattices
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[1] R. N. Ball,Convergence and Cauchy structures on lattice ordered groups, Trans. Amer. Math Soc.259 (1980), no. 2, 357–392. · Zbl 0441.06015
[2] S. J. Bernau,The lateral completion of an arbitrary lattice group, J. Australian Math. Soc.19 (Series A) (1975), 263–289. · Zbl 0314.06011
[3] S. J. Bernau, Varieties of lattice groups are closed under Varieties of lattice groups are closed underL-completion, Symposia Math,21 (1977), 349–355. · Zbl 0374.06010
[4] R. D. Byrd andJ. T. Lloyd,A note on lateral completions in lattice-ordered groups, J. London Math. Soc. (2)1 (1969), 358–362. · Zbl 0182.04802
[5] P. Conrad,The lateral completion of a lattice-ordered group, Proc. London Math. Soc. (3)19 (1969), 444–480. · Zbl 0182.04803
[6] G. Davis andS. H. McCleary,The lateral completions of a completely distributive lattice-ordered group (revisite), to appear. · Zbl 0474.06016
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