Dependence of finiteness conditions in distributive lattices
β Scribed by Sherwin P. Avann
- Publisher
- Springer-Verlag
- Year
- 1964
- Tongue
- French
- Weight
- 676 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
A Q-distributive lattice is an algebra (L, v, A, V, 0, 1 ) of type (2, 2, 1, 0, 0) such that (L, V, A, 0, 1 ) is a bounded distributive lattice and 27 satisfies the equations V0 = 0, x A Vx = x, V(x V y) = Vx V Vy and V(x A Vy) = Vx A 27y. The aim of this paper is to find, for each proper subvariety
A level set in a distributive lattice consists of all elements of a certain fixed rank r. In this note we give a characterization of maximal level sets in distributive lattices of breadth 3. Several applications are given, one of which shows that if a distributive lattice L of breadth 3 is generated