Every uniformly Archimedean atomic MV-effect algebra is sharply dominating

Vladimír Olejček

Kybernetika (2010)

  • Volume: 46, Issue: 6, page 948-952
  • ISSN: 0023-5954

Abstract

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Following the study of sharp domination in effect algebras, in particular, in atomic Archimedean MV-effect algebras it is proved that if an atomic MV-effect algebra is uniformly Archimedean then it is sharply dominating.

How to cite

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Olejček, Vladimír. "Every uniformly Archimedean atomic MV-effect algebra is sharply dominating." Kybernetika 46.6 (2010): 948-952. <http://eudml.org/doc/196295>.

@article{Olejček2010,
abstract = {Following the study of sharp domination in effect algebras, in particular, in atomic Archimedean MV-effect algebras it is proved that if an atomic MV-effect algebra is uniformly Archimedean then it is sharply dominating.},
author = {Olejček, Vladimír},
journal = {Kybernetika},
keywords = {lattice effect algebra; MV-algebra; sharp element; sharp domination; atom; Euclidean algorithm; Archimedean effect algebra; atom; Euclidean algorithm; lattice effect algebra; MV-algebra; sharp element; sharp domination},
language = {eng},
number = {6},
pages = {948-952},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Every uniformly Archimedean atomic MV-effect algebra is sharply dominating},
url = {http://eudml.org/doc/196295},
volume = {46},
year = {2010},
}

TY - JOUR
AU - Olejček, Vladimír
TI - Every uniformly Archimedean atomic MV-effect algebra is sharply dominating
JO - Kybernetika
PY - 2010
PB - Institute of Information Theory and Automation AS CR
VL - 46
IS - 6
SP - 948
EP - 952
AB - Following the study of sharp domination in effect algebras, in particular, in atomic Archimedean MV-effect algebras it is proved that if an atomic MV-effect algebra is uniformly Archimedean then it is sharply dominating.
LA - eng
KW - lattice effect algebra; MV-algebra; sharp element; sharp domination; atom; Euclidean algorithm; Archimedean effect algebra; atom; Euclidean algorithm; lattice effect algebra; MV-algebra; sharp element; sharp domination
UR - http://eudml.org/doc/196295
ER -

References

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  2. Foulis, D. J., Bennett, M. K., Effect algebras and unsharp quantum logics, Found. Phys. 24 (1994), 1325–1346. (1994) MR1304942
  3. Gudder, S. P., Sharply dominating effect algebras, Tatra Mt. Math. Publ. 15 (1998), 23–30. (1998) Zbl0939.03073MR1655076
  4. Gudder, S. P., 10.1023/A:1026637001130, Internat. J. Theor. Phys. 37 (1998), 915–923. (1998) Zbl0932.03072MR1624277DOI10.1023/A:1026637001130
  5. Kalina, M., Olejček, M., Paseka, J., Riečanová, Z., Sharply Dominating MV-Effect Algebras, Internat. J. Theor. Phys. (2010), doi: 10.1007/s10773-010-0338-x (2010) 
  6. Kôpka, F., 10.1023/A:1026665306697, Internat. J. Theor. Phys. 37 (1998), 93–101. (1998) MR1637152DOI10.1023/A:1026665306697
  7. Kôpka, F., D-posets of fuzzy sets, Tatra Mt. Math. Publ. 1 (1992), 83–87. (1992) MR1230466
  8. Kôpka, F., Chovanec, F., D-posets, Math. Slovaca 44 (1994), 21–34. (1994) MR1290269
  9. Riečanová, Z., Archimedean and block-finite lattice effect algebras, Demonstr. Math. 33 (2000), 443–452. (2000) MR1791464
  10. Riečanová, Z., Subdirect Decompositions of Lattice Effect Algebras, Interernat. J. Theor. Phys. 42 (2003), 1415–1423. (2003) Zbl1034.81003MR2021221

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