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ArticleOriginal scientific text

Title

Quasivarieties of pseudocomplemented semilattices

Authors 1, 2, 3, 4, 5

Affiliations

  1. Department of Mathematics, State University of New York, New Paltz, New York 12561, U.S.A.
  2. Institute of Mathematics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
  3. Department of Mathematics, University of Puerto Rico, Mayaguez, Puerto Rico 00681-5000, U.S.A.
  4. Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240, U.S.A.
  5. Institute of Mathematics, University of Bern, CH-3012 Bern, Switzerland

Abstract

Two properties of the lattice of quasivarieties of pseudocomplemented semilattices are established, namely, in the quasivariety generated by the 3-element chain, there is a sublattice freely generated by ω elements and there are 2ω quasivarieties.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm146/fm14637.pdf

Fundamenta Mathematicae
1994-1995/146/3
Export to PBN, Opens in new tab
Pages:
295-312
Main language of publication
English
Received
1994-02-28
Published
1995
Exact and natural sciences