Skip to main content
SpringerLink
Log in

Free products of pseudocomplemented semilattices – revisited

  • Published:
Algebra universalis Aims and scope Submit manuscript

Abstract

We analyze the structure of free products of pseudocomplemented semilattices in terms of their skeletons and Glivenko classes by giving a rather explicit construction, complementing the description given by Katriňák and Heleyová in [6].

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Adams M.E., Schmid J.: Pseudocomplemented semilattices are finite-to-finite relatively universal. Algebra Universalis 58, 303–333 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  2. Balbes R.: On free pseudo-complemented and relatively pseudo-complemented semi-lattices. Fund. Math. 78, 119–131 (1973)

    MATH  MathSciNet  Google Scholar 

  3. Chajda I., Halaš R., Kühr J.: Semilattice Structures. Heldermann Verlag, Lemgo (2007)

    MATH  Google Scholar 

  4. Grätzer G.: Universal Algebra, 2nd edn. Springer, New York (1979)

    MATH  Google Scholar 

  5. Jones, G.T.: Pseudo-Complemented Semi-Lattices. PhD thesis, UCLA (1974)

  6. Katriňák T., Heleyová Z.: Free Products of Pseudocomplemented Semilattices. Semigroup Forum 60, 450–469 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  7. Koppelberg S.: Handbook of Boolean Algebras, vol. 1. North Holland, Amsterdam (1989)

    Google Scholar 

  8. Schmid J.: On the structure of free pseudocomplemented semilattices. Houston J. Math. 16, 71–85 (1990)

    MATH  MathSciNet  Google Scholar 

  9. Schmid J.: Addenda. Houston J. Math. 16, 301 (1990)

    MATH  MathSciNet  Google Scholar 

  10. Sikorski R.: Boolean Algebras, 3rd edn. Springer, New York (1969)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, State University of New York, New Paltz, NY, 12561, USA

    M. E. Adams

  2. Institute of Mathematics, University of Bern, CH-3012, Bern, Switzerland

    Jürg Schmid

Authors
  1. M. E. Adams
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jürg Schmid
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. E. Adams.

Additional information

Presented by R. Freese.

To Tibor Katriňák on the occasion of his 70th birthday

While working on this paper, the first author was supported by US CRDF grant KYM1-2852-BI-07 and the second by Swiss NSF grant 200020-117840/1.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Adams, M.E., Schmid, J. Free products of pseudocomplemented semilattices – revisited. Algebra Univers. 64, 143–152 (2010). https://doi.org/10.1007/s00012-010-0095-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00012-010-0095-y

2000 Mathematics Subject Classification

Keywords and phrases

Search

Navigation