Cantor extension of an Abelian cyclically ordered group
Mathematica slovaca, Tome 39 (1989) no. 1, pp. 31-41
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Classification : 06F20
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Černák, Štefan. Cantor extension of an Abelian cyclically ordered group. Mathematica slovaca, Tome 39 (1989) no. 1, pp. 31-41. http://geodesic.mathdoc.fr/item/MASLO_1989_39_1_a5/

[1] DASHIEL F., HAGER A., HENRIKSEN M.: Order - Cauchy completions of rings and vector lattices of continuous functions. Can. J. Math. 32, 1980, 657-685. | MR

[2] EVERETT C. J.: Sequence completion of lattice moduls. Duke Math. J. 11, 1944, 109-119. | MR | Zbl

[3] ФУKC Л.: Чacтичнo yпopядoчeнныe aлгeбpaичecкиe cиcтeмы. Mocквa 1965.

[4] HARMINC M.: Sequential convergences on cyclically ordered groups. Math. Slovaca. (Submitted.) | MR | Zbl

[5] KOKOPИH A. И., KOПЫTOB B. M.: Линeйнo yпopядoчeнныe гpyппы. Mocквa 1972.

[6] NOVÁK V.: Cyclically ordered sets. Czech. Math. J. 32, 1982, 460-473. | MR | Zbl

[7] NOVÁK V.: Cuts in cyclically ordered sets. Czech. Math. J. 34, 1984, 322-333. | MR | Zbl

[8] NOVÁK V., NOVOTNÝ M.: Dimension theory for cyclically and cocyclically ordered sets. Czech. Math. J. 33, 1983, 647-653. | MR | Zbl

[9] PAPANGELOU F.: Order convergence and topological completion of commutative lattice-groups. Math. Ann. 155, 1964, 81-107. | MR | Zbl

[10] PRINGEROVÁ G.: Radical classes of linearly ordered groups and cyclically ordered groups. (Slovak.) Dissertation, Komenský Univ., Bratislava 1986.

[11] RIEGER L.: O uspořádaných a cyklicky uspořádaných grupách I-III. Věstník Král. české spol. nauk 1946, 1-31; 1947, 1-33; 1948, 1-26.

[12] SWIERCZKOWSKI S.: On cyclically ordered groups. Fund. Math. 47, 1959, 161-166. | MR | Zbl