Archimedean GMV-chains

Jan Kühr

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2002)

  • Volume: 41, Issue: 1, page 83-88
  • ISSN: 0231-9721

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Kühr, Jan. "Archimedean GMV-chains." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 41.1 (2002): 83-88. <http://eudml.org/doc/23736>.

@article{Kühr2002,
author = {Kühr, Jan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {GMV-algebra; pseudo MV-algebra; Archimedean MV-algebra},
language = {eng},
number = {1},
pages = {83-88},
publisher = {Palacký University Olomouc},
title = {Archimedean GMV-chains},
url = {http://eudml.org/doc/23736},
volume = {41},
year = {2002},
}

TY - JOUR
AU - Kühr, Jan
TI - Archimedean GMV-chains
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2002
PB - Palacký University Olomouc
VL - 41
IS - 1
SP - 83
EP - 88
LA - eng
KW - GMV-algebra; pseudo MV-algebra; Archimedean MV-algebra
UR - http://eudml.org/doc/23736
ER -

References

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  1. Cignoli R. L. O., Mundici D., D’Ottaviano I. M. L., Algebraic Foundations of Manyvalued Reasoning, Kluwer Acаdemic Publishers, Dordrecht-Boston-London, 2000. MR1786097
  2. Chang C. C., A new proof of completeness of the Lukаsiewicz аxioms, Trans. Amer. Math. Soc. 93 (1959), 74-80. (1959) MR0122718
  3. Dvurečenskij A., Pseudo MV-аlgebrаs аre intervаls in l -groups, J. Austral. Math. Soc. (to appear). 
  4. Dvurečenskij A., On pseudo MV-аlgebrаs, Soft Comp. 5 (2001), 347-354. 
  5. Dvurečenskij A., Pulmannová S., New Trends in Quantum Structures, Kluwer Acаdemic Publishers, Dordrecht-Boston-London, 2000. MR1861369
  6. Fuchs L., Častično uporjadočennyje algebraičeskije sistemy, Mir, Moskvа, 1965. (1965) MR0218283
  7. Georgescu G., Iorgulescu A., Pseudo MV-аlgebrаs: A non-commutаtive extension of MV-аlgebrаs, In: Proc. Fourth Inter. Symp. Econ. Inform., May 6-9, 1999, INFOREC Printing House, Bucharest, 1999, 961-968. (1999) 
  8. Georgescu G., Iorgulescu A., Pseudo MV-аlgebrаs, Multiple Valued Logic 6 (2000), 95-135. MR1817439
  9. Kuroš A. G., Kapitoly z obecné algebry, Acаdemiа, Prаhа, 1968. (1968) MR0224404
  10. Rachůnek J., A non-commutаtive generаlizаtion of MV-аlgebrаs, Czechoslovak Math. J. (to appear). 

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