Representing homomorphisms of distributive lattices as restrictions of congruences of rectangular lattices
✍ Scribed by Gábor Czédli
- Book ID
- 118777420
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 545 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0002-5240
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let L be a bounded lattice, let [a, b] and [c, d] be intervals of L, and let ϕ : [a, b] → [c, d] be an isomorphism between these two intervals. Let us consider the algebra L ← → ϕ = L; ∧, ∨, ϕ, ϕ -1 , which is a lattice with two partial unary operations. We construct a bounded lattice K (in fact, a
In 1983. Wille raised the question: Is elery complete lattice \(L\) isomorphic to the lattice of complete congruence relations of a suitable complete lattice K? In 1988 . this was answered in the affirmative by the first author. A number of papers have been published on this problem by Freese, Johns