Graduate studies at Western
Studia Logica 83 (1-3):111 - 131 (2006)
|Abstract||The least element 0 of a finite meet semi-distributive lattice is a meet of meet-prime elements. We investigate conditions under which the least element of an algebraic, meet semi-distributive lattice is a (complete) meet of meet-prime elements. For example, this is true if the lattice has only countably many compact elements, or if |L| < 2ℵ0, or if L is in the variety generated by a finite meet semi-distributive lattice. We give an example of an algebraic, meet semi-distributive lattice that has no meet-prime element or join-prime element. This lattice L has |L| = |LC| = 2ℵ0 where Lc is the set of compact elements of L.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Alasdair Urquhart (1981). Distributive Lattices with a Dual Homomorphic Operation. II. Studia Logica 40 (4):391 - 404.
Hector Gramaglia & Diego Vaggione (1996). Birkhoff-Like Sheaf Representation for Varieties of Lattice Expansions. Studia Logica 56 (1-2):111 - 131.
Sven Ove Hansson (2008). Specified Meet Contraction. Erkenntnis 69 (1):31 - 54.
M. E. Adams & W. Dziobiak (1995). Joins of Minimal Quasivarieties. Studia Logica 54 (3):371 - 389.
Josep M. Font & Ventura Verdú (1993). The Lattice of Distributive Closure Operators Over an Algebra. Studia Logica 52 (1):1 - 13.
Klaus Ambos-Spies, Peter A. Fejer, Steffen Lempp & Manuel Lerman (1996). Decidability of the Two-Quantifier Theory of the Recursively Enumerable Weak Truth-Table Degrees and Other Distributive Upper Semi-Lattices. Journal of Symbolic Logic 61 (3):880-905.
Andrea Sorbi (1990). Some Remarks on the Algebraic Structure of the Medvedev Lattice. Journal of Symbolic Logic 55 (2):831-853.
Douglas Cenzer & Andre Nies (2001). Initial Segments of the Lattice of Π01 Classes. Journal of Symbolic Logic 66 (4):1749 - 1765.
Radomír Halaš (2008). The Variety of Lattice Effect Algebras Generated by MV-Algebras and the Horizontal Sum of Two 3-Element Chains. Studia Logica 89 (1):19 - 35.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads1 ( #294,309 of 754,610 )
Recent downloads (6 months)0
How can I increase my downloads?