The triple method and free distributive pseudocomplemented lattices
✍ Scribed by Peter Köhler
- Book ID
- 112760477
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 475 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0002-5240
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📜 SIMILAR VOLUMES
The skeletons of free distributive lattices are studied by methods of formal concept analysis; in particular, a specific closure system of sublattices is elaborated to clarify the structure of the skeletons. Up to five generators, the skeletons are completely described.
In this paper we characterize the join irreducible elements of the free algebras on n free generators in the subvarieties of the variety VO of pseudocomplemented De Morgan algebras satisfying the identity zz'\* = (zz'\*)'\*.
We show that there exist a set of polynomials {Lk 1 k = 0, 1 \* \* a} such that L,(n) is the number of elements of rank k in the free distributive lattice on n generators. L,(n) = L,(n) = 1 for all n and the degree of L, is k -1 for k 5 1. We show that the coefficients of the L, can be calculated us