Results 21 to 30 of about 5,057 (262)

Topological Boundary Floppy Modes in Quasicrystals

Physical Review X, 2019
Topological mechanics has been studied intensively in periodic lattices in the past a few years, leading to the discovery of topologically protected boundary floppy modes in Maxwell lattices.
Di Zhou, Leyou Zhang, Xiaoming Mao
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HEMI-COMPLEMENTED LATTICES [PDF]

Journal of Algebraic Systems
The notion of hemicomplemented lattices is introduced and some of the properties of these algebras are studied. Some characterization theorems of hemicomplemented lattices are derived with the help of minimal prime D-filters, ideals, and congruences. The
Phaneendra Kumar Ananthapatnayakuni, Sambasiva Rao Mukkamala   +1 more
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On Semitopological De Morgan Residuated Lattices [PDF]

Transactions on Fuzzy Sets and Systems, 2023
The class of De Morgan residuated lattices was introduced by L‎. ‎C‎. ‎Holdon (Kybernetika 54(3):443-475‎, ‎2018)‎, ‎recently‎, ‎many mathematicians have studied the theory of ideals or filters in De Morgan residuated lattices and some of them ...
Liviu-Constantin Holdon
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Fracturing of topological Maxwell lattices

New Journal of Physics, 2018
We present fracturing analysis of topological Maxwell lattices when they are stretched by applied stress. Maxwell lattices are mechanical structures containing equal numbers of degrees of freedom and constraints in the bulk and are thus on the verge of ...
Leyou Zhang, Xiaoming Mao
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Non-Trivial Transport Interface in a Hybrid Topological Material With Hexagonal Lattice Arrangement

Frontiers in Physics, 2020
In this paper, a hybrid topological material with hexagonal lattice arrangement is proposed, consisting of six metal cylindrical resonators and a dielectric slab.
Lianlian Du, Yahong Liu, Meize Li, Huiling Ren, Kun Song, Xiaopeng Zhao   +5 more
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Topological transitions with an imaginary Aubry-André-Harper potential

Physical Review Research, 2023
We study one-dimensional lattices with imaginary-valued Aubry-André-Harper (AAH) potentials. Such lattices can host edge states with purely imaginary eigenenergies, which differ from the edge states of the Hermitian AAH model and are stabilized by a non ...
Bofeng Zhu, Li-Jun Lang, Qiang Wang, Qi Jie Wang, Y. D. Chong   +4 more
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The Nested Topological Band-Gap Structure for the Periodic Domain Walls in a Photonic Super-Lattice

Crystals
We study the nested topological band-gap structure of one-dimensional (1D) photonic super-lattices. One cell of the super-lattice is composed of two kinds of photonic crystals (PhCs) with different topologies so that there is a domain wall (DW) state at ...
Zhen Lai, Yufu Liu, Yunlin Li, Xuezhi Wang, Xunya Jiang   +4 more
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On separation of lattices

International Journal of Mathematics and Mathematical Sciences, 1991
Separation properties of a lattice of subsets of an arbitrary set or separation properties between a pair of such lattices have strong implications on the associated lattice regular measures and conversely. A number of such relationships are investigated
Mabel Szeto
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The prime and maximal spectra and the reticulation of residuated lattices with applications to De Morgan residuated lattices

Open Mathematics, 2020
In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
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The lattice of closed congruences on a topological lattice [PDF]

Transactions of the American Mathematical Society, 1981
Our primary objectives are: (1) if L L is a lattice endowed with a topology making both the meet and join continuous then ...
openaire   +1 more source