On intervals and the dual of a pseudo MV-algebra

Ján Jakubík

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 2, page 213-221
  • ISSN: 0232-0525

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Jakubík, Ján. "On intervals and the dual of a pseudo MV-algebra." Mathematica Slovaca 56.2 (2006): 213-221. <http://eudml.org/doc/31912>.

@article{Jakubík2006,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {pseudo MV-algebra; dual pseudo MV-algebra; system of intervals; internal direct product},
language = {eng},
number = {2},
pages = {213-221},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On intervals and the dual of a pseudo MV-algebra},
url = {http://eudml.org/doc/31912},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Jakubík, Ján
TI - On intervals and the dual of a pseudo MV-algebra
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 2
SP - 213
EP - 221
LA - eng
KW - pseudo MV-algebra; dual pseudo MV-algebra; system of intervals; internal direct product
UR - http://eudml.org/doc/31912
ER -

References

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  1. CATTANEO G.-LOMBARDO F., Independent axiomatization of MV-algebras, Tatra Mt. Math. Publ. 15 (1998), 227-232. (1998) Zbl0939.03076MR1655091
  2. CHANG C. C., Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958), 467-490. (1958) Zbl0084.00704MR0094302
  3. CIGNOLI R.-D'OTTAVIANO M. I.-MUNDICI D., Algebraic Foundations of Many-Valued Reasoning, Kluwer Academic Publishers, Dordrecht, 2000. Zbl0937.06009MR1786097
  4. DVUREČENSKIJ A., Pseudo MV-algebras are intervals in l-groups, J. Aust. Math. Soc. 72 (2002), 427-445. MR1902211
  5. GEORGESCU G.-IORGULESCU A., Pseudo MV-algebras: a noncommutative extension of MV-algebras, In: The Proceedings of the Fourth International Symposium on Economic Informatics, INFOREC Printing House, Bucharest, 1999, pp. 961-968. (1999) Zbl0985.06007MR1730100
  6. GEORGESCU G.-IORGULESCU A., Pseudo MV-algebras, Mult.-Valued Log. (Special issue dedicated to Gr. C Moisil) 6 (2001), 95-135. Zbl1014.06008MR1817439
  7. JAKUBÍK J., Direct product decompositions of MV-algebras, Czechoslovak Math. J. 44 (1994), 725-739. (1994) MR1295146
  8. JAKUBÍK J., Direct product decompositions of pseudo MV-algebras, Arch. Math. (Brno) 37 (2001), 131-142. Zbl1070.06003MR1838410
  9. JAKUBÍK J., On intervals and isometries of MV-algebras, Czechoslovak Math. J. 52 (2002), 651-663. Zbl1012.06013MR1923269
  10. MUNDICI D., Interpretation of AFC* -algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-63. (1986) MR0819173
  11. RACHŮNEK J., A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273. Zbl1012.06012MR1905434

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