Skip to main content

Part of the book series: Theory and Decision Library ((TDLB,volume 32))

Abstract

MV-algebras first appeared in 1958 and were introduced for the purpose of analysing algebraically the many-valued logics of Lukasiewicz [1, 2]. The theory of these algebras developed slowly at first but since the mid 1980’s has undergone a rapid growth.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. C. Chang, Algebraic- analysis of many valued logics, Trans. Amer. Math. Soc. 88(1958) 467–490.

    Article  MathSciNet  MATH  Google Scholar 

  2. C. C. Chang, A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959) 74–80.

    MathSciNet  MATH  Google Scholar 

  3. L. P. Belluce, Semi-simple and complete MV-algebras, Algebra Universalis, 29 (1992), 1–9.

    Article  MathSciNet  MATH  Google Scholar 

  4. L. P. Belluce, A. Di Nola, S. Sessa, The prime ideal space of an MV-algebra, Math. Logic Quartely 40 (1994).

    Google Scholar 

  5. D. Mundici, Interpretation of AF C* — algebras in Lukasiewicz sentential logic, J. Functional Anal. 65 (1986) 15–63.

    Article  MathSciNet  MATH  Google Scholar 

  6. R. Sikorski, Boolean Algebras, Springer - Verlag, (1960).

    MATH  Google Scholar 

  7. F. Lacava, Sulle L-algebre iniettive, Bolletino UMI (7) 3-A (1989), 319–324.

    MathSciNet  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Belluce, L.P. (1995). α-Complete MV-Algebras. In: Höhle, U., Klement, E.P. (eds) Non-Classical Logics and their Applications to Fuzzy Subsets. Theory and Decision Library, vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0215-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-0215-5_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4096-9

  • Online ISBN: 978-94-011-0215-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics