Lorenzen's theorem for pseudo-effect algebras

Anatolij Dvurečenskij

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 1, page 23-42
  • ISSN: 0139-9918

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Dvurečenskij, Anatolij. "Lorenzen's theorem for pseudo-effect algebras." Mathematica Slovaca 54.1 (2004): 23-42. <http://eudml.org/doc/32196>.

@article{Dvurečenskij2004,
author = {Dvurečenskij, Anatolij},
journal = {Mathematica Slovaca},
keywords = {pseudo-effect algebra; pseudo MV-algebra; ideal; polar; -polar; carrier; representability; unital po-group; unital -group},
language = {eng},
number = {1},
pages = {23-42},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Lorenzen's theorem for pseudo-effect algebras},
url = {http://eudml.org/doc/32196},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Dvurečenskij, Anatolij
TI - Lorenzen's theorem for pseudo-effect algebras
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 1
SP - 23
EP - 42
LA - eng
KW - pseudo-effect algebra; pseudo MV-algebra; ideal; polar; -polar; carrier; representability; unital po-group; unital -group
UR - http://eudml.org/doc/32196
ER -

References

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  1. DVUREČENSKIJ A., States on pseudo MV-algebras, Studia Logica 68 (2001), 301-327. Zbl1081.06010MR1865858
  2. DVUREČENSKIJ A., Pseudo M V -algebras are intervals in ℓ -groups, J. Austral. Math. Soc. 72 (2002), 427-445. Zbl1027.06014MR1902211
  3. DVUREČENSKIJ A., Perfect effect algebras are categorically equivalent with abelian interpolation po-groups, (Submitted). Zbl1117.06009
  4. DVUREČENSKIJ A., Ideals of pseudo-effect algebras and their applications, Tatra Mt. Math. Publ. 27 (2003), 45-65. Zbl1068.03056MR2026641
  5. DVUREČENSKIJ A.-PULMANNOVÁ S., New Trends in Quantum Structures, Kluwer Academic Publ., Dordrecht, 2000. Zbl0987.81005MR1861369
  6. DVUREČENSKIJ A.-VETTERLEIN T., Pseudoeffect algebras. I. Basic properties, Internat. J. Theoret. Phys. 40 (2001), 685-701. Zbl0994.81008MR1831592
  7. DVURECENSKIJ A.-VETTERLEIN T., Pseudoeffect algebras. II. Group representations, Internat. J. Theoret. Phys. 40 (2001), 703-726. Zbl0994.81009MR1831593
  8. GEORGESCU G.-IORGULESCU A., Pseudo- M V algebras, Mult.-Valued Log. 6 (2001), 95-135. Zbl1014.06008MR1817439
  9. GLASS A. M. W., Polars and their applications in directed interpolation groups, Trans. Amer. Math. Soc. 166 (1972), 1-25. (1972) Zbl0235.06004MR0295991
  10. LORENZEN P., Abstrakte Begrunde der multiplikativen Idealtheorie, Math. Z. 45 (1939), 533-553. (1939) MR0000604
  11. RAVINDRAN K., On a Structure Theory of Effect Algebras, PhD Thesis, Kansas State Univ., Manhattan, Kansas, 1996. (1996) MR2694228

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