Skip to main content
Log in

W-algebras which are Boolean products of members of SR[1] and CW-algebras

  • Published:
Studia Logica Aims and scope Submit manuscript

Abstract

We show that the class of all isomorphic images of Boolean Products of members of SR [1] is the class of all archimedean W-algebras. We obtain this result from the characterization of W-algebras which are isomorphic images of Boolean Products of CW-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. S. Burris and H. P. Sankappanavar, A Course in Universal Algebra, Springer-Verlag, New York, 1981.

    Google Scholar 

  2. S. Burris and H. Werner, Sheaf construction and their elementary properties, Trans. Amer. Math. Soc. 248 (1979), pp. 269–309.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  5. R. Cignoli, The lattice of global sections of sheaves of chains over Boolean Spaces, Algebra Universalis 8 (1978), pp. 357–373.

    Google Scholar 

  6. J. M. Font, A. J. Rodriguez and A. Torrens, Wajsberg algebras, Stochastica, VIII (1984), n. 1. pp. 5–31.

    Google Scholar 

  7. P. H. Krauss and D. M. Clark, Global subdirect products, Mem. Amer. Math. Soc. n. 210, 1979.

  8. A. J. Rodriguez, Un estudio algebraico de la cálculas Proposicionales de Łukasiewicz, Ph. D. Thesis, Universitat de Barcelona, 1980.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Torrens, A. W-algebras which are Boolean products of members of SR[1] and CW-algebras. Stud Logica 46, 265–274 (1987). https://doi.org/10.1007/BF00372551

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00372551

Keywords

Navigation