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Finitely Presented Lattices: Continuity and Semidistributivity

In: Lattices, Semigroups, and Universal Algebra

Author

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  • Ralph Freese

    (University of Hawaii)

Abstract

In [3] we investigated finitely presented lattices and the closely related subject of lattices generated by a finite partial lattice. We described a canonical form for the elements of such a lattice and used this to study the covering relation. We showed that there is an effective procedure for finding the covers of any element of a finitely presented lattice. We gave an example of a finitely presented lattice which has no cover at all.

Suggested Citation

  • Ralph Freese, 1990. "Finitely Presented Lattices: Continuity and Semidistributivity," Springer Books, in: Jorge Almeida & Gabriela Bordalo & Philip Dwinger (ed.), Lattices, Semigroups, and Universal Algebra, pages 67-70, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-2608-1_7
    DOI: 10.1007/978-1-4899-2608-1_7
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