Skip to main content
Log in

On Varieties of Pseudo MV-Algebras

  • Published:
Czechoslovak Mathematical Journal Aims and scope Submit manuscript

Abstract

In this paper we investigate the relation between the lattice of varieties of pseudo MV-algebras and the lattice of varieties of lattice ordered groups.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Cignoli, M. I. D'Ottaviano and D. Mundici: Algebraic Foundations of many-valued Reasoning. Trends in Logic, Studia Logica Library, Vol. 7, Kluwer Academic Publishers, Dordrecht, 2000.

    Google Scholar 

  2. A. Dvure£enskij: Pseudo MV-algebras are intervals in `-groups. J. Austral. Math. Soc. (Ser. A) 72 (2002), 427–445.

    Article  Google Scholar 

  3. A. Dvure£enskij: States on pseudo MV-algebras. Studia Logica. To appear.

  4. G. Georgescu and A. Iorgulescu: Pseudo MV-algebras: a noncommutative extension of MV-algebras. In: The Proceedings of the Fourth International Symposium on Economic Informatics, Buchurest, Romania. 1999, pp. 961–968.

  5. G. Georgescu and A. Iorgulescu: Pseudo MV-algebras. Multiple-Valued Logic (a special issue dedicated to Gr. C. Moisil) 6 (2001), 95–135.

    MathSciNet  MATH  Google Scholar 

  6. J. JakubÌk: Subdirect product decompositions of MV-algebras. Czechoslovak Math. J. 49 (1999), 163–173.

    Article  MATH  MathSciNet  Google Scholar 

  7. J. JakubÌk: Direct product decompositions of pseudo MV-algebras. Arch. Math. 37 (2001), 131–142.

    MATH  Google Scholar 

  8. J. Rachůunek: A non-commutative generalization of MV-algebras. Czechoslovak Math. J. 52 (2002), 255–273.

    Article  MathSciNet  Google Scholar 

  9. J. Rachůunek: Prime spectra of non-commutative generalizations of MV-algebras. (Sub-mitted).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jakubík, J. On Varieties of Pseudo MV-Algebras. Czech Math J 53, 1031–1040 (2003). https://doi.org/10.1023/B:CMAJ.0000024539.80076.24

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:CMAJ.0000024539.80076.24

Navigation