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].
Similar content being viewed by others
References
Adams M.E., Schmid J.: Pseudocomplemented semilattices are finite-to-finite relatively universal. Algebra Universalis 58, 303–333 (2008)
Balbes R.: On free pseudo-complemented and relatively pseudo-complemented semi-lattices. Fund. Math. 78, 119–131 (1973)
Chajda I., Halaš R., Kühr J.: Semilattice Structures. Heldermann Verlag, Lemgo (2007)
Grätzer G.: Universal Algebra, 2nd edn. Springer, New York (1979)
Jones, G.T.: Pseudo-Complemented Semi-Lattices. PhD thesis, UCLA (1974)
Katriňák T., Heleyová Z.: Free Products of Pseudocomplemented Semilattices. Semigroup Forum 60, 450–469 (2000)
Koppelberg S.: Handbook of Boolean Algebras, vol. 1. North Holland, Amsterdam (1989)
Schmid J.: On the structure of free pseudocomplemented semilattices. Houston J. Math. 16, 71–85 (1990)
Schmid J.: Addenda. Houston J. Math. 16, 301 (1990)
Sikorski R.: Boolean Algebras, 3rd edn. Springer, New York (1969)
Author information
Authors and Affiliations
Corresponding author
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
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00012-010-0095-y