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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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Excess of a Lattice

Graphs and Combinatorics, 2002
A pair \((x,y)\) of elements in a lattice is said to be mismatching if \(x\) is join-irreducible, \(y\) is meet-irreducible and \(x\nleqslant y\). The excess of a lattice \(L\) is the number \(\text{ex}(L) =|L|-\min \{|V_x|+ |I_y|\): \((x,y)\) is a mismatching pair\}, where \(V_x\) and \(I_y\) are the filter generated by \(x\) and the ideal generated ...
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Architected Multimaterial Lattices with Thermally Programmable Mechanical Response

Advanced Functional Materials, 2022
Jochen Mueller   +2 more
exaly  

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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Light propagation and localization in modulated photonic lattices and waveguides

Physics Reports, 2012
Ivan L Garanovich   +2 more
exaly  

Lattice

2006
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The connections between three-way and classical concept lattices

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

The lattice of quasivarieties of lattices

Algebra Universalis, 1979
Grätzer, G., Lakser, H.
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