Sequential convergences on cyclically ordered groups

Matúš Harminc

Mathematica Slovaca (1988)

  • Volume: 38, Issue: 3, page 249-253
  • ISSN: 0139-9918

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Harminc, Matúš. "Sequential convergences on cyclically ordered groups." Mathematica Slovaca 38.3 (1988): 249-253. <http://eudml.org/doc/31524>.

@article{Harminc1988,
author = {Harminc, Matúš},
journal = {Mathematica Slovaca},
keywords = {cyclically ordered group; cyclic order; convergence},
language = {eng},
number = {3},
pages = {249-253},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Sequential convergences on cyclically ordered groups},
url = {http://eudml.org/doc/31524},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Harminc, Matúš
TI - Sequential convergences on cyclically ordered groups
JO - Mathematica Slovaca
PY - 1988
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 38
IS - 3
SP - 249
EP - 253
LA - eng
KW - cyclically ordered group; cyclic order; convergence
UR - http://eudml.org/doc/31524
ER -

References

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  1. FRIČ R., KOUTNÍK V., Recent development in sequential convergence, In: Convergence Structures and Applications II, Abh. Akad. Wiss. DDR, Abt. Math.-Naturwiss.-Technik, 1984, Nr. 2N, Akademie-Verlag, Berlin 1984, 37-46. (1984) Zbl0567.54002MR0790150
  2. FUCHS L., Partially Ordered Algebraic Systems, Oxford 1963. (1963) Zbl0137.02001MR0171864
  3. HARMINC M., Sequential convergences on abelian lattice-ordered groups, Convergence Structures 1984. Mathematical Research, Band 24, Akademie-Verlag, Berlin 1985, 153-158. (1984) MR0835480
  4. HARMINC M., The cardinality of the system of all sequential convergences on an abelian lattice ordered group, Czech. Math. J. 37, 1987, 533-546. (1987) MR0913986
  5. HARMINC M., Convergences on Lattice Ordered Groups (Slovak), Dissertation, Math. Inst. Slovak Acad. Sci., Bratislava, 1986. (1986) 
  6. JAKUBÍK J., ČERNÁK Š., Completion of a cyclically ordered group, Czech. Math. J. 37, 1987, 157-174. (1987) Zbl0624.06021MR0875137
  7. MIKUSIŃSKI P., Problems posed at the conference, Proc. Conf. on Convergence, Szczyrk 1979, Katowice, 1980, 110-112. (1979) MR0639325
  8. NOVÁK J., On convergence groups, Czechoslovak Math. J. 20 (1970), 357-374. (1970) Zbl0217.08504MR0263973
  9. PRINGEROVÁ G., Radicals on Linearly Ordered and on Cyclically Ordered Groups (Slovak), Dissertation, Komenský University, Bratislava, 1986. (1986) 
  10. RIEGER L. S., On ordered and cyclically ordered groups I-III (Czech), Věstník Král. České Spol. Nauk, 1946, Nr. 6, 1-31; 1947, Nr. V 1-33; 1948, Nr. V 1-26. (1946) MR0026055
  11. ŚWIERCZKOWSKI S., On cyclically ordered groups, Fund. Math. 47 (1959), 161-166. (1959) Zbl0096.01501MR0110759
  12. ZABARINA A. I., On the theory of cyclically ordered groups (Russian), Matem. zametki 31 (1982), Nr. 1, 3-12. (1982) MR0646907
  13. ZABARINA A. I., PESTOV G. G., On a theorem of Świerczkowski (Russian), Sibir. Matem. ž. 25 (1984), Nr. 4, 46-53. (1984) MR0754739

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