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Artificial kagome lattices of Shockley surface states patterned by halogen hydrogen-bonded organic frameworks [PDF]

open access: yesNature Communications
Artificial electronic kagome lattices may emerge from electronic potential landscapes using customized structures with exotic supersymmetries, benefiting from the confinement of Shockley surface-state electrons on coinage metals, which offers a flexible ...
Ruoting Yin   +16 more
doaj   +2 more sources

Topological mechanical metamaterial for robust and ductile one-way fracturing [PDF]

open access: yesNature Communications
Fracturing is unavoidable and threatens the reliability and functionality of materials. Therefore, regulating the propagation of cracks in a predictable and ductile manner is of paramount importance.
Xinyu Wang   +3 more
doaj   +2 more sources

“Polymerization” of Bimerons in Quasi-Two-Dimensional Chiral Magnets with Easy-Plane Anisotropy [PDF]

open access: yesNanomaterials
We re-examine the internal structure of bimerons, which are stabilized in easy-plane chiral magnets and represent coupled states of two merons with the same topological charge |1/2| but with opposite vorticity and the polarity.
Natsuki Mukai, Andrey O. Leonov
doaj   +2 more sources

Order Filter Model for Minuscule Plücker Relations [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
The Plücker relations which define the Grassmann manifolds as projective varieties are well known. Grass-mann manifolds are examples of minuscule flag manifolds.
David C Lax
doaj   +1 more source

Stone Commutator Lattices and Baer Rings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
In this paper, we transfer Davey‘s characterization for κ -Stone bounded distributive lattices to lattices with certain kinds of quotients, in particular to commutator lattices with certain properties, and obtain related results on prime, radical ...
Mureşan Claudia
doaj   +1 more source

Varieties of bounded K-lattices

open access: yesFuzzy Sets and Systems, 2022
In this paper we continue to study varieties of K-lattices, focusing on their bounded versions. These (bounded) commutative residuated lattices arise from a specific kind of construction: the {\em twist-product} of a lattice. Twist-products were first considered by Kalman in 1958 to deal with order involutions on plain lattices, but the extension of ...
Aglianò, Paolo   +1 more
openaire   +3 more sources

On tractability and congruence distributivity [PDF]

open access: yesLogical Methods in Computer Science, 2007
Constraint languages that arise from finite algebras have recently been the object of study, especially in connection with the Dichotomy Conjecture of Feder and Vardi.
Emil Kiss, Matthew Valeriote
doaj   +1 more source

Universality of small lattice varieties [PDF]

open access: yesProceedings of the American Mathematical Society, 1984
There exists a finitely generated lattice variety S S such that the class of all nonconstant homomorphisms between members of S S contains a universal category as a full subcategory. In particular, every monoid M M is isomorphic to the monoid of all nonconstant endomorphisms of a lattice from
Koubek, V., Sichler, J.
openaire   +2 more sources

Varieties of K-lattices

open access: yesFuzzy Sets and Systems, 2022
In this paper we deal with varieties of commutative residuated lattices that arise from a specific kind of construction: the {\em twist-product} of a lattice. Twist-products were first considered by Kalman in 1958 to deal with order involutions on plain lattices, but the extension of this concept to residuated lattices has attracted some attention ...
Aglianò, Paolo   +1 more
openaire   +5 more sources

Generators of lattice varieties [PDF]

open access: yesAlgebra Universalis, 1976
Although it is well known that the variety of all lattices is generated by the subclass of finite lattices, there are lattice varieties which are not generated by their finite members. In fact, there are modular varieties which are not even generated by their finite dimensional members [3].
Dilworth, R. P., Freese, Ralph
openaire   +2 more sources

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