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The algebras of derivations of naturally graded Leibniz algebras are described.
      
For each left graded module M over a graded algebra A, a Hochschild cochain complex S*(A, M) whose homology is responsible for the existence of nontrivial structures of A∞-modules over A∞-algebras on the given module is constructed.
      
For each left graded module M over a graded algebra A, a Hochschild cochain complex S*(A, M) whose homology is responsible for the existence of nontrivial structures of A∞-modules over A∞-algebras on the given module is constructed.
      
In the paper, an analog of the Engel theorem for graded algebras admitting a Lie-type module is proved.
      
Significant Improvement of Transistor Transconductance and Speed by Using a Graded Channel
      
The results are presented of the fabrication of strain-relaxed graded Si1 - xGex/Si(001) buffer layers with a maximum Ge fraction of about 0.25 that have a low density of threading dislocations (>amp;lt;106 cm-2) and low surface roughness.
      
It is shown that local bioelectric responses induced by graded local chilling are similar to the receptor potentials of animals.
      
Multilayer depth-graded (aperiodic) W/Si and W/B4C mirrors with a period changing over depth have been designed, fabricated, and investigated.
      
Exact dispersion equations for waveguide modes of a graded-index optical fiber
      
Introduction of a spherical indenter into a half-space with a functionally graded elastic coating
      
The depolarization and rotation of the polarization plane of radiation propagating in a two-dimensional graded-index medium is investigated on the basis of the quantum-mechanical method of coherent states.
      
An analysis is made of the leaky modes in fibers with step and graded profiles of the dielectric constant tensor.
      
Based on the method of transfer matrices for cylindrical waves, an analytical technique for calculating the dispersion dependences and the profiles of electromagnetic waves in multilayer and graded index optical fibers is developed.
      
SL-type zero-graded solutions of the dynamical Yang-Baxter equation in dimension 3 are classified.
      
A Hamiltonian that is based on the U(6/12) graded algebra and which does not possess, in general, a dynamic symmetry is constructed.
      
We derive a formula that expresses the local spin and field operators of fundamental graded models in terms of the elements of the monodromy matrix.
      
Relaxed step-graded buffer layers of Si1-xGex/Si(001) heterostructures with a low density of threading dislocations are grown through chemical vapor deposition at atmospheric pressure.
      
A photovoltage which alternates in sign as a function of wavelength and which is similar to the photosensitivity spectra of opposing barriers in graded-gap layers, is observed.
      
The model of compositionally graded layer formation is proposed on the basis of cathodoluminescence and X-ray data.
      
Stimulation of luminescence in graded-gap AlxGa1-xAs semiconductors
      
 

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