On some properties of submeasures on MV-algebras

Mária Jurečková; Ferdinand Chovanec

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 2, page 161-167
  • ISSN: 0232-0525

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Jurečková, Mária, and Chovanec, Ferdinand. "On some properties of submeasures on MV-algebras." Mathematica Slovaca 54.2 (2004): 161-167. <http://eudml.org/doc/31563>.

@article{Jurečková2004,
author = {Jurečková, Mária, Chovanec, Ferdinand},
journal = {Mathematica Slovaca},
keywords = {submeasure on MV-algebra; nonatomicity; Darboux property; Saks property},
language = {eng},
number = {2},
pages = {161-167},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On some properties of submeasures on MV-algebras},
url = {http://eudml.org/doc/31563},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Jurečková, Mária
AU - Chovanec, Ferdinand
TI - On some properties of submeasures on MV-algebras
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 2
SP - 161
EP - 167
LA - eng
KW - submeasure on MV-algebra; nonatomicity; Darboux property; Saks property
UR - http://eudml.org/doc/31563
ER -

References

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  1. ČERNEK P., Product of submeasures, Acta Math. Univ. Comenian. 40-41 (1982), 301-308. (1982) Zbl0945.03095MR0686987
  2. ČERNEK P., The least upper bound of the additive measures and integrals, Zb. Rad., Prir.-Math. 25 (1971), 21-24. (1971) 
  3. CHANG C. C., Algebraic analysis of many-valued logics, Trans. Amer. Math. Soc. 88 (1959), 467-490. (1959) MR0094302
  4. DOBRAKOV I., On submeasures I, Dissertationes Math. (Rozprawy Mat.) 112 (1974), 5-35. (1974) Zbl0292.28001MR0367140
  5. DVUREČENSKIJ A.-PULMANNOVÁ S., New Trends in Quantum Structures, Cluwer Acad. Publ./Ister Science, Dordrecht/Bratislava, 2000. Zbl0987.81005MR1861369
  6. HALMOS P. R., The range of a vector measure, Bull. Amer. Math. Soc. 54 (1948), 416-421. (1948) Zbl0033.05201MR0024963
  7. KLIMKIN V. M.-SVISTULA M. G., The Darboux property of non-additive set functions, Mat. Sb. 192 (2001), 41-50. (Russian) (192) MR1861372
  8. OLEJČEK V., Darboux property of finitely additive measure on δ -ring, Math. Slovaca 27 (1997), 195-201. (1997) MR0476975
  9. RIEČAN B., On the Dobrakov submeasure on fuzzy sets, Fuzzy Sets and Systems (Submitted). Zbl1061.28013
  10. RIEČAN B.-NEUBRUNN T., Integral, Measure, and Ordering, Kluwer Acad. Publ./Ister Science, Dordrecht/Bratislava, 1997. (1997) Zbl0916.28001MR1489521

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