Skip to main content
Log in

Boolean dominated MV-algebras

  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

In this paper we study an obvious generalization of the hyperarchimedean MV-algebras: boolean dominated MV-algebras. Particularly we point out the wide difference between the class of the hyperarchimedean MV-algebras and the class of the boolean dominated 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.

References

  • Belluce LP (1986) Semisimple algebras of infinite-valued logic and bold fuzzy set theory, Canadian J Math 38: 1356–1379

    Google Scholar 

  • Belluce LP, Di Nola A, Lettieri A (1993) Local MV-Algebras. Rendiconti del Circolo Matematico di Palermo, s.II, vol 42: pp 347–361

  • Belluce LP, Di Nola A, Sessa S (1994) The Prime Spectrum of an MV-Algebra. Math Log Quart 40: 331–346

  • Chang CC (1958) Algebraic analysis of many valued logics. Trans Amer Math Soc 88: 467–490

    Google Scholar 

  • Chang CC (1959)A new proof of the completeness of the Łukasiewicz axioms. Trans Amer Math Soc 93: 74–80

    Google Scholar 

  • Cignoli RLO, D’ottaviano IML, Mundici D (2000) Algebraic Foundations of Many-valued Reasoning. Kluwer, Dordrecht. (Trends in Logic, Studia Logica Library)

  • Di Nola A (1994) Lettieri A Perfect MV-algebras are categorically equivalent to abelian ℓ-groups. Studia Logica 53: 417–432

    Google Scholar 

  • Mundici D (1986) Interpretation of AFC*-algebras in ŁukasiewiczŁukasiewicz sentential calculus. J Funct Anal 65: 15–63

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. P. Belluce.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belluce, L., Lettieri, A. Boolean dominated MV-algebras. Soft Comput 9, 536–543 (2005). https://doi.org/10.1007/s00500-004-0371-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-004-0371-x

Keywords

Navigation