Skip to main content
Log in

Isometries of generalized MV-algebras

  • Published:
Czechoslovak Mathematical Journal Aims and scope Submit manuscript

Abstract

In this paper we investigate the relations between isometries and direct product decompositions of generalized MV-algebras.

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. G. Birkhoff: Lattice Theory. American Mathematical Society, Providence, 1967.

    MATH  Google Scholar 

  2. R. Cignoli, I. M. I. D’Ottaviano and D. Mundici: Algebraic Foundations of Many-valued Reasoning. Kluwer Academic Publishers, Dordrecht, 2000.

    MATH  Google Scholar 

  3. P. Conrad: Lattice Ordered Groups. Tulane University, 1970.

  4. A. Dvurečenskij: Pseudo MV-algebras are intervals of ℓ-groups. J. Austral. Math. Soc. 72 (2002), 427–445.

    Article  MATH  Google Scholar 

  5. G. Georgescu and A. Iorgulescu: Pseudo MV-algebras: a non-commutative extension of MV-algebras. Proc. Fourth. Internal Symp. Econ. Inf., INFOREC, Bucharest. 1999, pp. 961–968.

  6. G. Georgescu and A. Iorgulescu: Pseudo MV-algebras. Multiple-Valued Logic 6 (2001), 95–135.

    MATH  MathSciNet  Google Scholar 

  7. Ch. Holland: Intrinsic metrics for lattice ordered groups. Alg. Universalis 19 (1984), 142–150.

    Article  MATH  MathSciNet  Google Scholar 

  8. J. Jakubík: Isometries of lattice ordered groups. Czechoslovak Math. J. 30 (1980), 142–152.

    MathSciNet  Google Scholar 

  9. J. Jakubík: On intervals and isometries of MV-algebras. Czechoslovak Math. J. 52 (2002), 651–663.

    Article  MATH  MathSciNet  Google Scholar 

  10. J. Jakubík: Direct product decompositions of pseudo MV-algebras. Archivum math. 37 (2001), 131–142.

    MATH  Google Scholar 

  11. J. Jakubík: Isometries of MV-algebras. Math. Slovaca 54 (2004), 43–48.

    MATH  MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  13. K. L. Swamy: Izometries in autometrized lattice ordered groups. Algebra Univ. 8 (1977), 58–64.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jakubík, J. Isometries of generalized MV-algebras. Czech Math J 57, 161–171 (2007). https://doi.org/10.1007/s10587-007-0052-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10587-007-0052-x

Keywords

Navigation