Cyclic ordered groups and MV-algebras

Daniel Gluschankof

Czechoslovak Mathematical Journal (1993)

  • Volume: 43, Issue: 2, page 249-263
  • ISSN: 0011-4642

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Gluschankof, Daniel. "Cyclic ordered groups and MV-algebras." Czechoslovak Mathematical Journal 43.2 (1993): 249-263. <http://eudml.org/doc/31338>.

@article{Gluschankof1993,
author = {Gluschankof, Daniel},
journal = {Czechoslovak Mathematical Journal},
keywords = {cyclically ordered group; MV-algebra; abelian -group; lattice- cyclical group; projectable lc-group},
language = {eng},
number = {2},
pages = {249-263},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cyclic ordered groups and MV-algebras},
url = {http://eudml.org/doc/31338},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Gluschankof, Daniel
TI - Cyclic ordered groups and MV-algebras
JO - Czechoslovak Mathematical Journal
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 2
SP - 249
EP - 263
LA - eng
KW - cyclically ordered group; MV-algebra; abelian -group; lattice- cyclical group; projectable lc-group
UR - http://eudml.org/doc/31338
ER -

References

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  1. Distributive lattices, University of Missouri Press, 1974. (1974) MR0373985
  2. Groupes et anneaux réticulés, Springer LNM 608 (1978). (1978) MR0552653
  3. A course in universal algebra, Springer–Verlag, New York–Heidelberg–Berlin, 1981. (1981) MR0648287
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  5. A new proof of the completeness of the Łukasiewicz axioms, Trans. Am. Math. Soc. 93 (1959), 74–80. (1959) Zbl0093.01104MR0122718
  6. Wajsberg algebras, Stochastica, VIII (1984), 5–31. (1984) MR0780136
  7. Alcune proprietà delle ł-algebre e delle t-algebre essistenzialmente chiuse, Boll. Unione Mat. Italiana (5) 16A (1979), 360–366. (1979) 
  8. 10.1016/0022-1236(86)90015-7, J. Func. An. 65 (1986), 15–63. (1986) MR0819173DOI10.1016/0022-1236(86)90015-7
  9. On ordered and cyclically ordered groups I, II, III, Věstník král. české spol. nauk (1946 1947 1948), 1–31 1-33 1–26, In Czech. (1946 1947 1948) MR0020995
  10. 10.4064/fm-47-2-161-166, Fund. Math. 47 (1959), 161–166. (1959) Zbl0096.01501MR0110759DOI10.4064/fm-47-2-161-166
  11. W-algebras which are Boolean products of members of SR[1] and CW-algebras, Studia Logica, XXLVI 33 (1987), 263–272. (1987) Zbl0621.03042MR0938720
  12. Elimination of quantifiers for certain ordered and lattice-ordered abelian groups, Bull. Soc. Math. Belg., XXXIII (1981), Fasc. I, serie B, 131–155. (1981) Zbl0499.03012MR0620968
  13. Swierczkowski’s theorem, Sibirski Math. J. 25 (1984), 46–53. (1984) MR0754739
  14. Cyclically ordered groups, Sibirski Math. J. 17 (1976), 1046–1051. (1976) Zbl0362.06022

Citations in EuDML Documents

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  1. Ján Jakubík, Distinguished extensions of an M V -algebra
  2. Ján Jakubík, On complete M V -algebras
  3. Ján Jakubík, On idempotent modifications of M V -algebras
  4. Ján Jakubík, On product M V -algebras
  5. Ján Jakubík, Direct product decomposition of M V -algebras
  6. Ján Jakubík, On free M V -algebras
  7. Jiří Rachůnek, DRl-semigroups and M V -algebras
  8. Ján Jakubík, Strong subdirect products of MV-algebras
  9. Ján Jakubík, Subdirect product decompositions of M V -algebras
  10. Ján Jakubík, Regular representations of semisimple MV-algebras by continuous real functions

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