Results 91 to 100 of about 131,023 (367)
High‐Density Topological Defect Array by Two‐Step Interference Photoalignment
High density arrays of topological defects in nematic liquid crystal are realized by two‐step interference photoalignment, with a minimal distance of 1.25 micrometer and disclination lines connecting defects on opposing substrates. Such layers can be used as reconfigurable templates for photonic devices to achieve large angle diffraction, beam shaping ...
Sunqian Liu, Inge Nys, Kristiaan Neyts
wiley +1 more source
On commutativity of one-sided s-unital rings
The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
doaj +1 more source
Artinian Gorenstein algebras with linear resolutions [PDF]
Fix a pair of positive integers d and n. We create a ring R and a complex G of R-modules with the following universal property. Let P be a polynomial ring in d variables over a field and let I be a grade d Gorenstein ideal in P which is generated by ...
Khoury, Sabine El, Kustin, Andrew R.
core
The universal character ring of some families of one-relator groups
We study the universal character ring of some families of one-relator groups. As an application, we calculate the universal character ring of two-generator one-relator groups whose relators are palindrome, and, in particular, of the (-2,2m+1,2n+1 ...
Anh T Tran, Lubotzky, Oertel
core +1 more source
Multiple recurrence and popular differences for polynomial patterns in rings of integers [PDF]
Ethan Ackelsberg, Vitaly Bergelson
openalex +1 more source
Distributed Bragg Reflector Based on Plasmonic Ag: Plasma Polymer Nanocomposites
This paper presents a comprehensive approach for the optical design and validation of silver nanocomposite‐based Distributed Bragg Reflectors (DBRs). It describes deriving material properties (n, k) and using them to predict the performance of the deposited optical stack, as well as to characterize imperfections in the DBR deposition, or even to ...
Zdeněk Krtouš +7 more
wiley +1 more source
On the structure of even $K$-groups of rings of algebraic integers [PDF]
Meng Fai Lim
openalex +1 more source
Another Prüfer Ring of Integer-Valued Polynomials
Let \(D\) be an integral domain with quotient field \(K\) and let \(\text{ Int}(D) = \{f \in K [x] \mid f(D) \subseteq D\}\). If \(D\) is Dedekind and all its residue fields are finite then \(\text{ Int}(D)\) is Prüfer while if \(\text{ Int}(D)\) is Prüfer then \(D\) is almost Dedekind (i.e.
openaire +1 more source
Versatile Control of Spectral Emissivity in Mid‐Infrared Metasurfaces via Silicon Microstructuring
A family of metasurfaces is obtained very simply, solely through the structuration of a single‐crystal silicon surface, without any other material involved. Based on the infrared plasmonic behavior of highly doped silicon, further control of surface topography by micro‐ and nano‐structuration is found to enable an avenue of options toward tailoring its
Kirollos Ernest Matta +9 more
wiley +1 more source
K-theory for ring C*-algebras - the case of number fields with higher roots of unity
We compute K-theory for ring C*-algebras in the case of higher roots of unity and thereby completely determine the K-theory for ring C*-algebras attached to rings of integers in arbitrary number fields.Comment: 26 pages, final version, accepted for ...
L Ück, Wolfgang, Xin Li
core +2 more sources

