On the α -completeness of pseudo MV-algebras

Ján Jakubík

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 5, page 511-516
  • ISSN: 0232-0525

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Jakubík, Ján. "On the $\alpha $-completeness of pseudo MV-algebras." Mathematica Slovaca 52.5 (2002): 511-516. <http://eudml.org/doc/31978>.

@article{Jakubík2002,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {MV-algebra; pseudo MV-algebra; -completeness; unital -groups; categorical equivalence; radical class},
language = {eng},
number = {5},
pages = {511-516},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the $\alpha $-completeness of pseudo MV-algebras},
url = {http://eudml.org/doc/31978},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Jakubík, Ján
TI - On the $\alpha $-completeness of pseudo MV-algebras
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 5
SP - 511
EP - 516
LA - eng
KW - MV-algebra; pseudo MV-algebra; -completeness; unital -groups; categorical equivalence; radical class
UR - http://eudml.org/doc/31978
ER -

References

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  1. CIGNOLI R.-D'OTTAVIANO M. L.-MUNDICI D., Algebraic Foundations of Many-Valued Reasoning, Kluwer Acаdemic Publishers, Dordrecht, 2000. Zbl0937.06009MR1786097
  2. CONRAD P., K -radical classes of lattice ordered groups, In: Proc. Conf. Cаrbondаle. Lecture Notes in Mаth. 848, Springer, New York, 1981, pp. 186-207. (1981) Zbl0455.06010MR0613186
  3. DVUREČENSKIJ A., On pseudo M V -algebras, Soft Computing 5 (2001), 347-354. Zbl1081.06010
  4. DVUREČENSKIJ A., Pseudo M V -algebras are intervals in ℓ -groups, J. Austrаl. Mаth. Soc. 72 (2002), 427-445. Zbl1027.06014MR1902211
  5. GEORGESCU G.-IORGULESCU A., Pseudo M V -algebras: a noncommutative extension of M V -algebras, In: The Proceedings of the Fourth Internаtionаl Symposium on Economic Informаtics, INFOREC Printing House, Buchаrest, 1999, pp. 961-968. (1999) Zbl0985.06007MR1730100
  6. GEORGESCU G.-IORGULESCU A., Pseudo M V -algebras, Multi. Val. Log. (A special issue dedicated to Gr. C Moisil) 6 (2001), 95-135. Zbl1014.06008MR1817439
  7. JAKUBIK J., Radical mappings and radical classes of lattice ordered groups, In: Sympos. Math. 21, Academic Press, London, 1977, pp. 451-477. (1977) Zbl0368.06013MR0491397
  8. JAKUBIK J., Radical classes of M V -algebras, Czechoslovak Math. J. 49 (1999), 191-211. (1999) Zbl0953.06012MR1676805
  9. MUNDICI D., Interpretation of A F C * -algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-63. (1986) MR0819173
  10. RACHUNEK J., A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 25 (2002), 255-273. Zbl1012.06012MR1905434

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