Sequential convergences on pseudo MV-algebras

Ján Jakubík

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 5, page 501-510
  • ISSN: 0139-9918

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Jakubík, Ján. "Sequential convergences on pseudo MV-algebras." Mathematica Slovaca 56.5 (2006): 501-510. <http://eudml.org/doc/34625>.

@article{Jakubík2006,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {pseudo MV-algebra; unital lattice ordered group; sequential convergence; orthogonal subset},
language = {eng},
number = {5},
pages = {501-510},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Sequential convergences on pseudo MV-algebras},
url = {http://eudml.org/doc/34625},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Jakubík, Ján
TI - Sequential convergences on pseudo MV-algebras
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 5
SP - 501
EP - 510
LA - eng
KW - pseudo MV-algebra; unital lattice ordered group; sequential convergence; orthogonal subset
UR - http://eudml.org/doc/34625
ER -

References

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  2. CIGNOLI R.-D'OTTAVIANO I. M. I.-MUNDICI D., Algebraic Foundations of Many-Valued Reasoning, Kluwer Academic Publishers, Dordrecht, 2000. Zbl0937.06009MR1786097
  3. CONRAD P., The structure of a lattice-ordered group with a finite number of disjoint elements, Michigan Math. J. 7 (1960), 171-180. (1960) Zbl0103.01501MR0116059
  4. DVUREČENSKIJ A., Pseudo M V -algebras are intervals in ℓ -groups, J. Aust. Math. Soc. 72 (2002), 427-445. Zbl1027.06014MR1902211
  5. FOULIS D.-BENNET M. K., Effect algebras and unsharp quantum logics, Found Phуs. 24 (1994), 1331 1352. (1994) Zbl1213.06004MR1304942
  6. FRIČ R., Coproducts of D-posets and their application to probability, Internat. J. Theoret. Phуs. 43 (2004), 1625-1633. Zbl1070.81009MR2108299
  7. GEORGESCU G.-IORGULESCU A., Pseudo MV-algebras: a noncommutative extension of MV-algebras, In: Information technology. Proceedings of the 4th International Sуmposium on Economic Informatics Held in Bucharest, Romania, Maу 6-9, 1999. (1. Smeureanu et al., eds.), Editura Inforec, Bucharest, 1999, pp. 961-968. (1999) Zbl0985.06007MR1730100
  8. GEORGESCU G.-IORGULESCU A., Pseudo MV-algebras, Mult.-Valued Log. 6 (2001), 95-135. Zbl1014.06008MR1817439
  9. HARMINC M., Sequential convergences in lattice ordered groups, Czechoslovak Math. J. 39 (1989), 232-238. (1989) MR0992130
  10. JAKUBÍK J., Lattice ordered groups having a largest convergence, Czechoslovak Math. J. 39 (1989), 717-729. (1989) Zbl0713.06009MR1018008
  11. JAKUBÍK J., Sequential convergences on MV-algebras, Czechoslovak Math. J. 45 (1995), 709-726. (1995) Zbl0845.06009MR1354928
  12. JAKUBÍK J., Convergences on lattice ordered groups with a finite number of disjoint elements, Math. Slovaca 56 (2006), 289-299. Zbl1141.06016MR2250080
  13. RACHŮNEK J., A noncommutative generalization of MV-algebras, Czechoslovak Math. J. 25 (2002), 255-273. MR1905434

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