[1] |
Richard N. Ball, Topological lattice-ordered groups, Pacific J. Math. 83 (1979), no. 1, 1 – 26. · Zbl 0434.06016 |
[2] |
Bernhard Banaschewski, Über die Vervollständigung geordneter Gruppen, Math. Nachr. 16 (1957), 51 – 71 (German). · Zbl 0077.03302 · doi:10.1002/mana.19570160103 |
[3] |
S. J. Bernau, Lateral and Dedekind completion of Archimedean lattice groups, J. London Math. Soc. (2) 12 (1975/76), no. 3, 320 – 322. · Zbl 0333.06008 · doi:10.1112/jlms/s2-12.3.320 |
[4] |
S. J. Bernau, The lateral completion of an arbitrary lattice group, J. Austral. Math. Soc. 19 (1975), 263 – 289. · Zbl 0314.06011 |
[5] |
-, Varieties of lattice groups are closed under \( \mathcal{L}\)-completion, Symposia Math. 21 (1977), 349-355. |
[6] |
Roger Bleier and Paul Conrad, \?*-closures of lattice-ordered groups, Trans. Amer. Math. Soc. 209 (1975), 367 – 387. · Zbl 0321.06019 |
[7] |
Bourbaki, Elements of mathematics, General Topology. I, Addison-Wesley, Reading, Mass., 1966. · Zbl 0145.19302 |
[8] |
Richard D. Byrd and Justin T. Lloyd, Closed subgroups and complete distributivity in lattice-ordered groups, Math. Z. 101 (1967), 123 – 130. · Zbl 0178.02902 · doi:10.1007/BF01136029 |
[9] |
P. F. Conrad, Lattice-ordered groups, Lecture notes, Tulane University, 1970. · Zbl 0258.06011 |
[10] |
Paul Conrad, The topological completion and the linearly compact hull of an abelian \?-group, Proc. London Math. Soc. (3) 28 (1974), 457 – 482. · Zbl 0298.06024 · doi:10.1112/plms/s3-28.3.457 |
[11] |
Paul Conrad and Donald McAlister, The completion of a lattice ordered group, J. Austral. Math. Soc. 9 (1969), 182 – 208. · Zbl 0172.31601 |
[12] |
Ralph E. DeMarr, Order convergence and topological convergence, Proc. Amer. Math. Soc. 16 (1965), 588 – 590. · Zbl 0135.22801 |
[13] |
C. J. Everett and S. Ulam, On ordered groups, Trans. Amer. Math. Soc. 57 (1945), 208 – 216. · Zbl 0061.03406 |
[14] |
Charles Holland, Extensions of ordered groups and sequence completion, Trans. Amer. Math. Soc. 107 (1963), 71 – 82. · Zbl 0117.26903 |
[15] |
G. Otis Kenny, The completion of an abelian \?-group, Canad. J. Math. 27 (1975), no. 5, 980 – 985. · Zbl 0321.06021 · doi:10.4153/CJM-1975-101-1 |
[16] |
D. C. Kent, On the order topology in a lattice, Illinois J. Math. 10 (1966), 90 – 96. · Zbl 0131.20401 |
[17] |
D. C. Kent and G. D. Richardson, Regular completions of Cauchy spaces, Pacific J. Math. 51 (1974), 483 – 490. · Zbl 0291.54024 |
[18] |
Robert L. Madell, Embeddings of topological lattice-ordered groups, Trans. Amer. Math. Soc. 146 (1969), 447 – 455. · Zbl 0192.36203 |
[19] |
Fredos Papangelou, Order convergence and topological completion of commutative lattice-groups, Math. Ann. 155 (1964), 81 – 107. · Zbl 0131.02601 · doi:10.1007/BF01344076 |
[20] |
Fredos Papangelou, Some considerations on convergence in abelian lattice-groups, Pacific J. Math. 15 (1965), 1347 – 1364. · Zbl 0146.04802 |
[21] |
R. H. Redfield, Ordering uniform completions of partially ordered sets, Canad. J. Math. 26 (1974), 644 – 664. · Zbl 0286.06006 · doi:10.4153/CJM-1974-062-4 |
[22] |
Ellen E. Reed, Completions of uniform convergence spaces, Math. Ann. 194 (1971), 83 – 108. · Zbl 0213.49601 · doi:10.1007/BF01362537 |