Cantor extension of an Abelian cyclically ordered group

Štefan Černák

Mathematica Slovaca (1989)

  • Volume: 39, Issue: 1, page 31-41
  • ISSN: 0232-0525

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Černák, Štefan. "Cantor extension of an Abelian cyclically ordered group." Mathematica Slovaca 39.1 (1989): 31-41. <http://eudml.org/doc/31683>.

@article{Černák1989,
author = {Černák, Štefan},
journal = {Mathematica Slovaca},
keywords = {Cantor extension; cyclically ordered group; fundamental sequence},
language = {eng},
number = {1},
pages = {31-41},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Cantor extension of an Abelian cyclically ordered group},
url = {http://eudml.org/doc/31683},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Černák, Štefan
TI - Cantor extension of an Abelian cyclically ordered group
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 1
SP - 31
EP - 41
LA - eng
KW - Cantor extension; cyclically ordered group; fundamental sequence
UR - http://eudml.org/doc/31683
ER -

References

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  2. EVERETT C. J., Sequence completion of lattice moduls, Duke Math. J. 11, 1944, 109-119. (1944) Zbl0060.06301MR0009592
  3. ФУKC Л., Чacтичнo yпopядoчeнныe aлгeбpaичecкиe cиcтeмы, Mocквa 1965. (1965) 
  4. HARMINC M., Sequential convergences on cyclically ordered groups, Math. Slovaca. (Submitted.) Zbl0654.06017MR0977903
  5. KOKOPИH A. И., KOПЫTOB B. M., Линeйнo yпopядoчeнныe гpyппы, Mocквa 1972. (1972) 
  6. NOVÁK V., Cyclically ordered sets, Czech. Math. J. 32, 1982, 460-473. (1982) Zbl0515.06003MR0669787
  7. NOVÁK V., Cuts in cyclically ordered sets, Czech. Math. J. 34, 1984, 322-333. (1984) Zbl0551.06002MR0743497
  8. NOVÁK V., NOVOTNÝ M., Dimension theory for cyclically and cocyclically ordered sets, Czech. Math. J. 33, 1983, 647-653. (1983) Zbl0538.06002MR0721091
  9. PAPANGELOU F., Order convergence and topological completion of commutative lattice-groups, Math. Ann. 155, 1964, 81-107. (1964) Zbl0131.02601MR0174498
  10. PRINGEROVÁ G., Radical classes of linearly ordered groups and cyclically ordered groups, (Slovak.) Dissertation, Komenský Univ., Bratislava 1986. (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. (1946) 
  12. SWIERCZKOWSKI S., On cyclically ordered groups, Fund. Math. 47, 1959, 161-166. (1959) Zbl0096.01501MR0110759

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