Results 51 to 60 of about 1,202 (263)

The Structure of Local Rings with Singleton Basis and Their Enumeration

Mathematics, 2022
A local ring is an associative ring with unique maximal ideal. We associate with each Artinian local ring with singleton basis four invariants (positive integers) p,n,s,t.
Yousef Alkhamees, Sami Alabiad
doaj   +1 more source

Development of Multifunctional Hierarchically Restructured Antibacterial Neural Interfacing Electrodes via Plasma‐Enhanced Atomic Layer Deposition of Zinc Oxide Thin Films

Advanced Functional Materials, EarlyView.
ABSTRACT Next‐generation implantable neural‐interfacing devices are increasingly constrained by the coupled demands of electrode miniaturization, electrochemical performance, and implantation infection risk. Femtosecond laser–based hierarchical surface restructuring (HSR) technology has emerged as a scalable, manufacturing‐compatible platform for ...
Henna Khosla, Wesley Seche, Kriti Panchal, Steven J. May, Ekaterina Pomerantseva, Jacob Elmer, Tyler Cooper, Matthew J. Urban, Hailey Y. Maurer, Gregory A. Caputo, Jeffrey Hettinger, Shahram Amini, Gang Feng   +12 more
wiley   +1 more source

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

Advanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades, Pedro Hidalgo, David Maestre, Ruth Martínez‐Casado, Emilio Nogales, Beatriz Rodríguez, G. Cristian Vásquez, Bianchi Méndez   +7 more
wiley   +1 more source

Higher Derivations Satisfying Certain Identities in Rings

Journal of Mathematics
Let n and m be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell-Daif, we characterize rings with higher derivations D=dii∈N ...
Amal S. Alali, Shakir Ali, Naira N. Rafiquee, Vaishali Varshney   +3 more
doaj   +1 more source

Flat local morphisms of rings with prescribed depth and dimension

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
For any pairs of integers (n,m) and (d, e) such that 0 ≤ n ≤ m, 0 ≤ d _ e, d ≤ n, e ≤ m and n -d ≤ m - e we construct a local flat ring morphism of noetherian local rings u : A → B such that dim(A) = n; depth(A) = d; dim(B) = m and depth(B) = e.
Ionescu Cristodor
doaj   +1 more source

Multiplicative Structure and Hecke Rings of Generator Matrices for Codes over Quotient Rings of Euclidean Domains

Mathematics, 2017
In this study, we consider codes over Euclidean domains modulo their ideals. In the first half of the study, we deal with arbitrary Euclidean domains.
Hajime Matsui
doaj   +1 more source

Room‐Temperature Skyrmionic Synapse in 2D Ferromagnet Fe3GaTe2 Operating via Collective Spin Texture Transformation

Advanced Materials, EarlyView.
We demonstrate a neuromorphic synapse in 2D Fe3GaTe2 flakes. The device operates via a current‐driven transformation from a skyrmion‐lattice to a stripe‐domain state, yielding a linear anomalous Hall resistance response with a tunable slope to enable multiply‐accumulate operations. Simulations confirm its viability in artificial neural networks.
Jixiang Huang, Tongji Zhu, PeiYu Cai, Xiaoming Ma, Zhen Wang, Ruifu Zhang, Yi Hao, Jingdi Lu, Liubing He, Jun Xu, Yuejie Zhang, Wanjun Jiang, Jing Tao, Shiming Lei, Pavel Parchinskiy, Jing Teng, Lingfei Wang, Wei Niu, Elton J.G. Santos, Xiaoqian Zhang, Peng Li   +20 more
wiley   +1 more source

On Generation of the Group $PGL_n(\mathbb{Z}+i\mathbb{Z})$ by Three Involutions, Two of which Commute

Известия Иркутского государственного университета: Серия "Математика"
The results of the paper relate to the following general problem. Find natural finite generating  sets of elements of a given linear group over a finitely generated commutative ring.
Ya.N. Nuzhin, T. B. Shaipova
doaj   +1 more source

Constructions of Dense Lattices of Full Diversity

Trends in Computational and Applied Mathematics, 2020
A lattice construction using Z-submodules of rings of integers of number fields is presented. The construction yields rotated versions of the laminated lattices A_n for n = 2,3,4,5,6, which are the densest lattices in their respective dimensions.
A. A. Andrade, A. J. Ferrari, J. C. Interlando, R. R. Araujo   +3 more
doaj   +1 more source

Gaussian Integers and Other Quadratic Integer Rings

, 2021
This thesis deals with quadratic integer rings, in particular the Gaussian integers Z}[i]. Concepts such as quadratic extensions, Euclidean domains and unique factorization domains will be introduced to the reader. The goal of this thesis is to show how a natural generalization of the integers Z, in the form of the Gaussian integers, can be used to ...
Landin, Erik, Hussein, Seif
openaire   +1 more source