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Congruence lattices of lattices

, 1991
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P-Lattices as Ideal Lattices and Submodule Lattices

P-Lattices as Ideal Lattices and Submodule Lattices
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Congrunce lattices of rectangular lattices

Journal of Intelligent & Fuzzy Systems, 2020
Let D be a finite distributive lattice with n join-irreducible elements. It is well-known that D can be represented as the congruence lattice of a rectangular lattice L ...
Peng He, Xue-Ping Wang 0001
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Lattices for the lattice Boltzmann method

Physical Review E, 2009
A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and Karlin, Phys. Rev. Lett. 97, 190601 (2006)] is elaborated in detail. A general theory of the construction of lattice Boltzmann models as an approximation to the Boltzmann equation is presented.
Chikatamarla, S.S., Karlin, I.V.
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Lattices That are Embeddable in Suborder Lattices

Algebra and Logic, 2005
Summary: Various types of lattices are embedded in suborder lattices of posets possessing certain properties. In particular, it is shown that the class of lattices isomorphic to sublattices of suborder lattices of posets of length at most \(n\) is a variety, for any \(n < \omega\).
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Lattice points in lattice polytopes

Mathematika, 2001
Let \(P\) be a lattice polytope in \(\mathbb{R}^d\) with vertices in \(\mathbb{Z}^d\), and \(I_l(P) = \operatorname{int}(P) \cap l \mathbb{Z}^d\) denote the set of sublattice points of \(P\) in its interior. Using and generalizing results of \textit{J. C. Lagarias} and \textit{G. M. Ziegler} [Can. J. Math. 43, No.
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On the Lattice of Convex Sublattices of a Lattice

Southeast Asian Bulletin of Mathematics, 2003
In Algebra Univers. 35, 63-71 (1996; Zbl 0842.06003), \textit{S. Lavanya} and \textit{S. Parameshwara Bhatta} considered a partial ordering on the set \(\text{CS}(L)\) of all the convex sublattices of a lattice \(L\), namely \(A\leq B\) if and only if \((A]\subseteq (B]\) and \([A)\supseteq [B)\), and begun a corresponding study.
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Embedding lattices into derived lattices

Proceedings of the Steklov Institute of Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solitaire Lattices

Graphs and Combinatorics, 2002
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Antoine Deza, Shmuel Onn
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