Skip to main content
SpringerLink
Log in

Finite integral relation algebras

  • Conference paper
  • First Online:
Universal Algebra and Lattice Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1149))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. L. H. Chin and A. Tarski. Distributive and modular laws in the arithmetic of relation algebras, University of California Publications in Mathematics (new series), 1(1951), 341–384.

    MathSciNet  MATH  Google Scholar 

  2. S. D. Comer, Combinatorial aspects of relations, Algebra Universalis, 18(1984), 77–94.

    Article  MathSciNet  MATH  Google Scholar 

  3. S. D. Comer, A new foundation for the theory of relations, Notre Dame Journal of Formal Logic, 24(1983), 181–187.

    Article  MathSciNet  MATH  Google Scholar 

  4. B. Jónsson and A. Tarski, Boolean algebras with operators, Part 1, American Journal of Mathematics, 73(1951), 891–939.

    Article  MathSciNet  MATH  Google Scholar 

  5. B. Jónsson and A. Tarski, Boolean algebra with operators, Part II, American Journal of Mathematics, 74(1952), 127–162.

    Article  MathSciNet  MATH  Google Scholar 

  6. B. Jónsson, Representation of modular lattices and of relation algebras, Transactions of the American Mathematical Society, 92(1959), 449–464.

    Article  MathSciNet  MATH  Google Scholar 

  7. B. Jónsson, Varieties of relation algebras, Algebra Universalis, 15(1982), 273–298.

    Article  MathSciNet  MATH  Google Scholar 

  8. L. Henkin, J. D. Monk, and A. Tarski, Cylindric Algebras, Part I. North-Holland, 1971.

    Google Scholar 

  9. R. C. Lyndon, The representation of relational algebras, Annals of Mathematics, series 2, 51(1950), 707–729.

    Article  MathSciNet  MATH  Google Scholar 

  10. R. C. Lyndon, The representation of relation algebras, II. Annals of Mathematics, series 2, 63(1956), 294–307.

    Article  MathSciNet  MATH  Google Scholar 

  11. R. C. Lyndon, Relation algebras and projective geometries, Michigan Mathematical Journal, 8(1961), 21–28.

    Article  MathSciNet  MATH  Google Scholar 

  12. R. Maddux, Embedding modular lattices into relation algebras, Algebra Universalis, 12(1981), 244–246.

    Article  MathSciNet  MATH  Google Scholar 

  13. R. Maddux, Some varieties containing relation algebras, Transactions of the American Mathematical Society, 272(1982), 501–526.

    Article  MathSciNet  MATH  Google Scholar 

  14. R. Maddux, A sequent calculus for relation algebras, Annals of Pure and Applied Logic, 25(1983), 73–101.

    Article  MathSciNet  MATH  Google Scholar 

  15. R. N. W. McKenzie, The representation of integral relation algebras, Michigan Mathematical Journal, 17(1970), 279–287.

    Article  MathSciNet  MATH  Google Scholar 

  16. J. D. Monk, On representable relation algebras, Michigan Mathematical Journal, 11(1964), 207–210.

    Article  MathSciNet  MATH  Google Scholar 

  17. A. Tarski, Contributions to the theory of models, III, Nederl. Akad. Wetensch. Proc. Ser. A, 58(Indag. Math., 17) (1955), 56–64.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Iowa State University, 50011, Ames, Iowa

    Roger Maddux

Authors
  1. Roger Maddux
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Stephen D. Comer

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Maddux, R. (1985). Finite integral relation algebras. In: Comer, S.D. (eds) Universal Algebra and Lattice Theory. Lecture Notes in Mathematics, vol 1149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098465

Download citation

  • DOI: https://doi.org/10.1007/BFb0098465

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15691-8

  • Online ISBN: 978-3-540-39638-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation