It is shown that any subvariety Y of the variety of bounded distributive lattices with a quantifier, as considered by Cignoli (1991), contains either uncountably or finitely many quasivarieties depending on whether Vcontains the 4-element bounded Boolean lattice with a simple quantifier. It is also
β¦ LIBER β¦
Finite distributive lattices of quasivarieties
β Scribed by V. I. Tumanov
- Publisher
- Springer US
- Year
- 1983
- Tongue
- English
- Weight
- 818 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0002-5232
No coin nor oath required. For personal study only.
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The following conjecture of U Faigle and B Sands is proved: For every number R > 0 there exists a number n(R) such that if 2 is a finite distributive lattice whose width w(Z) (size of the largest antichain) is at least n(R), then IZ/a Rw(Z). In words this says that as one considers ~ increasingly la