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On the Congruence Lattice of a Lattice

1990
Let L be a lattice. It is proved in N. Funayama and T. Nakayama [10] that the congruence lattice of L is distributive.
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On the sublattice-lattices of lattices

Publicationes Mathematicae Debrecen, 1998
For a lattice \(L\), let \(\text{Sub}(L)\) denote the lattice of all sublattices of \(L\), and \(L^d\) the dual of \(L\). If \(L\) and \(K\) are lattices and \(L\approx K\) or \(L\approx K^d\), then \(\text{Sub}(L)\approx \text{Sub}(K)\). The converse in not true in general. The scope of this paper is to prove that if \(L\) and \(K\) are lattices with \
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On congruence lattices of lattices

Algebra Universalis, 1985
This paper concerns the old problem, whether every distributive algebraic lattice is isomorphic to the congruence lattice of a lattice. The author discovers a new approach to reduce the representation problem to investigations of congruence lattices of finite lattices. His approach is the following. Let D be the category of finite distributive lattices
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Lattices and Lattice Complexes

1991
A lattice is an array of points each of which has identical environment in identical orientation. The points of a lattice are related to each other by a translation: by moving the entire lattice parallel to itself through an appropriate distance it can be brought into coincidence with itself (cf. Fig. 15-1).
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A new structure for uninorms on bounded lattices

Fuzzy Sets and Systems, 2020
Bao Qing Hu, Yexing Dan
exaly  

The lattice of quasivarieties of lattices

Algebra Universalis, 1979
Grätzer, G., Lakser, H.
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The connections between three-way and classical concept lattices

Knowledge-Based Systems, 2016
Ling Wei, Jianjun Qi, Ting Qian
exaly  

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