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On the Congruence Lattice of a Lattice
1990Let 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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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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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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Mammalian oocytes store proteins for the early embryo on cytoplasmic lattices
Cell, 2023Ida Jentoft
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Architected Multimaterial Lattices with Thermally Programmable Mechanical Response
Advanced Functional Materials, 2022Jochen Mueller +2 more
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Lattices and Lattice Complexes
1991A 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, 2012Ivan L Garanovich +2 more
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The connections between three-way and classical concept lattices
Knowledge-Based Systems, 2016Jianjun Qi, Ting Qian, Ling Wei
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The lattice of quasivarieties of lattices
Algebra Universalis, 1979Grätzer, G., Lakser, H.
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