Radical classes of cyclically ordered groups

Ján Jakubík; Gabriela Pringerová

Mathematica Slovaca (1988)

  • Volume: 38, Issue: 3, page 255-268
  • ISSN: 0139-9918

How to cite

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Jakubík, Ján, and Pringerová, Gabriela. "Radical classes of cyclically ordered groups." Mathematica Slovaca 38.3 (1988): 255-268. <http://eudml.org/doc/31796>.

@article{Jakubík1988,
author = {Jakubík, Ján, Pringerová, Gabriela},
journal = {Mathematica Slovaca},
keywords = {radical class; abelian cyclically ordered groups},
language = {eng},
number = {3},
pages = {255-268},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Radical classes of cyclically ordered groups},
url = {http://eudml.org/doc/31796},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Jakubík, Ján
AU - Pringerová, Gabriela
TI - Radical classes of cyclically ordered groups
JO - Mathematica Slovaca
PY - 1988
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 38
IS - 3
SP - 255
EP - 268
LA - eng
KW - radical class; abelian cyclically ordered groups
UR - http://eudml.org/doc/31796
ER -

References

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  1. CHEHATA C. G., WIEGANDT R., Radical theory for fully ordered groups, Mathematica - Rév. d'Anal. Numér. Théor. Approx. 20 (43), 1979, 143-157. (1979) MR0530451
  2. CONRAD P., K-radical classes of lattice ordered groups, Conf. Algebra, Carbondale, 1980, Lect. Notes in Math. 848. (1980) MR0613186
  3. Фукс Л., Частично упорядоченные алгебраические системы, Mocквa 1972. (1972) Zbl1225.01023
  4. GARDNER B. J., Some aspects of radical theory for fully ordered abelian groups, Comment. math. Univ. Carol. (CMUC) 26, 1985, 821-837. (1985) Zbl0584.06010MR0831815
  5. JAKUBÍK J., On the lattice of radical classes of linearly ordered groups, Studia scient. mathem. Hungar. 19, 198 V 76-86. (198) 
  6. JAKUBÍK J., On the lattice of semisimple classes of linearly ordered groups, Čas. pěst. matem. 107, 1982, 183-190. (1982) MR0704063
  7. JAKUBÍK J., On radical classes of abelian linearly ordered groups, Math. Slovaca 35, 1985, 141-154. (1985) Zbl0579.20034MR0795009
  8. JAKUBÍK J., K-radical classes of abelian linearly ordered groups, Math. Slovaca 38, 1988, 33-44. (1988) Zbl0646.06012MR0945078
  9. JAKUBÍK J., ČERNÁK Š., Completion of a cyclically ordered group, Czechosl. Math. J. 37, 1987,157-174. (1987) Zbl0624.06021MR0875137
  10. JAKUBÍK J., PRINGEROVÁ G., Representations of cyclically ordered groups, Čas. pěst. matem. 113, 1988, 197-208. (1988) Zbl0654.06016MR0949044
  11. JAKUBÍKOVÁ M., Hereditary radical classes of linearly ordered groups, Čas. pěst. matem. 107, 1982, 199-207. (1982) MR0704065
  12. PRINGEROVÁ G., Covering condition in the lattice of radical classes of linearly ordered groups, Math. Slovaca 33, 1983, 363-369. (1983) Zbl0519.06015MR0720506
  13. PRINGEROVÁ G., On semisimple classes of abelian linearly ordered groups, Čas. pěst. matem. 108, 1983, 40-52. (1983) Zbl0516.06013MR0694139
  14. RIEGER L., O uspořádaných a cyklicky uspořádaných grupách I, II, III, Věstník král. české spol. nauk 1946, 1-31; 1947, 1-33; 1948, 1-26. (1946) 
  15. SWIERCZKOWSKI S., On cyclically ordered groups, Fundament. Math. 47, 1959, 161-166. (1959) Zbl0096.01501MR0110759
  16. ЗАБАРИНА А. И., К теории сиклически упорядоченных групп, Матем. заметки 31, 1982, 3-12. (1982) Zbl1239.01036
  17. ЗАБАРИНА А. И., О линейном и циклическом порядках в группе, Сибир. матем. ж. 26, 1985, 204-207. (1985) Zbl1239.11074MR0788349
  18. ЗАБАРИНА А. И., ПЕСТОВ Г. Г., К теореме Сврчковского, Сибир. матем. ж. 25, 1984, 46-53. (1984) Zbl1239.01039MR0754739

Citations in EuDML Documents

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  1. Ján Jakubík, Retracts of abelian cyclically ordered groups
  2. Ján Jakubík, Cyclically ordered groups with unique addition
  3. Ján Jakubík, Gabriela Pringerová, Direct limits of cyclically ordered groups
  4. Štefan Černák, Lexicographic products of cyclically ordered groups
  5. Štefan Černák, Cantor extension of a half lineary cyclically ordered group
  6. Ján Jakubík, Radical classes of distributive lattices having the least element
  7. Ján Jakubík, Completions and closures of cyclically ordered groups

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