Cantor extension of a half lineary cyclically ordered group
Štefan Černák
Discussiones Mathematicae - General Algebra and Applications, Tome 21 (2001), p. 31-46 / Harvested from The Polish Digital Mathematics Library
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Convergent and fundamental sequences are studied in a half linearly cyclically ordered group G with the abelian increasing part. The main result is the construction of the Cantor extension of G.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:287732 
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     title = {Cantor extension of a half lineary cyclically ordered group},
     journal = {Discussiones Mathematicae - General Algebra and Applications},
     volume = {21},
     year = {2001},
     pages = {31-46},
     zbl = {1006.06009},
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Štefan Černák. Cantor extension of a half lineary cyclically ordered group. Discussiones Mathematicae - General Algebra and Applications, Tome 21 (2001) pp. 31-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1025/

[000] [1] S. Cernák, Cantor extension of an abelian cyclically ordered group, Math. Slovaca 39 (1989), 31-41. | Zbl 0667.06010

[001] [2] C.J. Everett, Sequence completion of lattice moduls, Duke Math. J. 11 (1944), 109-119. | Zbl 0060.06301

[002] [3] M. Giraudet and F. Lucas, Groupe a moitié ordonnés, Fund. Math. 139 (1991), 75-89.

[003] [4] J. Jakubík and G. Pringerová, Representations of cyclically ordered groups, Casopis pest. Mat. 113 (1988), 184-196. | Zbl 0654.06016

[004] [5] J. Jakubík and G. Pringerová, Radical classes of cyclically ordered groups, Math. Slovaca 38 (1988), 255-268. | Zbl 0662.06004

[005] [6] J. Jakubík, On half lattice ordered groups, Czechoslovak Math. J. 46 (1996), 745-767. | Zbl 0879.06011

[006] [7] J. Jakubík, Lexicographic products of half linearly ordered groups, Czechoslovak Math. J. 51 (2001), 127-138. | Zbl 1079.06504

[007] [8] J. Jakubík, On half cyclically ordered groups, Czechoslovak Math. J. (toappear). | Zbl 1010.06013

[008] [9] V. Novák, Cuts in cyclically ordered sets, Czechoslovak Math. J. 34 (1984), 322-333. | Zbl 0551.06002

[009] [10] V. Novák and M. Novotný, On representations of cyclically ordered sets, Czechoslovak Math. J. 39 (1989), 127-132. | Zbl 0676.06010

[010] [11] A. Quilot, Cyclic orders, European J. Combin. 10 (1989), 477-488. | Zbl 0692.05059

[011] [12] L. Rieger, On ordered and cyclically ordered groups I., II.,III, Vestník Král. Ceske spol. Nauk (Czech), 1946, 1-31; 1947, 1-33; 1948, 1-26.

[012] [13] S. Świerczkowski, On cyclically ordered groups, Fund. Math. 47 (1959), 161-166. | Zbl 0096.01501

[013] [14] D.R. Ton, Torsion classes and torsion prime selectors of hl-groups, Math. Slovaca 50 (2000), 31-40. | Zbl 0955.06010