Results 51 to 60 of about 62,458 (328)
On Certain Divisibility Property of Polynomials [PDF]
We review the definition of D-rings introduced by H. Gunji & D. L. MacQuillan. We provide an alternative characterization for such rings that allows us to give an elementary proof of that a ring of algebraic integers is a D-ring.
Caceres, Luis F. +1 more
core
Poincar\'e series of modules over compressed Gorenstein local rings
Given positive integers e and s we consider Gorenstein Artinian local rings R of embedding dimension e whose maximal ideal $\mathfrak{m}$ satisfies $\mathfrak{m}^s\ne 0=\mathfrak{m}^{s+1}$.
Rossi, Maria Evelina, Şega, Liana M
core +1 more source
Vacuum‐based deposition is promising for perovskite solar cells to be successfully commercialized. However, co‐evaporation, the most common vapor phase deposition technique, suffers from very low deposition rates. In this work, we reveal that high deposition rates can lead to carbon flakes depositing into the perovskite absorber layers due to material ...
Thomas Feeney +13 more
wiley +1 more source
On generalized Rédei functions
A generalization of Rédei functions to polynomial vectors in n indeterminates over finite fields or residue class rings of integers is given by considering special types of polynomial vectors.
R. Matthews, R. Lidl
doaj +1 more source
Residuated Lattices with Noetherian Spectrum
In this paper, we characterize residuated lattices for which the topological space of prime ideals is a Noetherian space. The notion of i-Noetherian residuated lattice is introduced and related properties are investigated.
Dana Piciu, Diana Savin
doaj +1 more source
Hermitian lattices and bounds in K-theory of algebraic integers [PDF]
Elaborating on a method of Soul\'e, and using better estimates for the geometry of hermitian lattices, we improve the upper bounds for the torsion part of the K-theory of the rings of integers of number fields.Comment: 11 pages.
Bayer-Fluckiger, Eva +2 more
core
Multimodal Structural Color Graphics Based on Colloidal Photonic Microdome Arrays
A hybrid photonic system combining colloidal crystals and microscale domes is designed to achieve four switchable optical states via the interplay of Bragg reflection and TIR interference. The graphics composed of the photonic microdome arrays provide tunable, angle‐sensitive structural coloration and concealed‐to‐revealed transitions, offering a ...
Jun‐Gu Kang +4 more
wiley +1 more source
On Quillen's calculation of graded $K$-theory
We adapt Quillen's calculation of graded K-groups of Z-graded rings with support in N to graded K-theory, allowing gradings in a product Z \times G with G an arbitrary group. This in turn allows us to use inductions and calculate graded K-theory of Z^
C Năstăsescu, H Bass, H Bass
core +1 more source
Encoding Magnetic Anisotropies in Digital Light Processing 3D Printing
A hybrid magnetic device—combining a coaxial coil within a nested Halbach array—is presented, integrated into a DLP 3D printer to enable spatially resolved magnetic field control. This system enables complex, multimodal responses by programming liquid crystal elastomer resins for magnetic and thermal actuation, and by inducing electrically conductive ...
Eléonore Aïdonidis +11 more
wiley +1 more source
On rings of integers generated by their units
We give an affirmative answer to the following question by Jarden and Narkiewicz: Is it true that every number field has a finite extension L such that the ring of integers of L is generated by its units (as a ring)? As a part of the proof, we generalize
Frei, Christopher
core +1 more source

