Results 81 to 90 of about 5,453 (309)

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

Space‐Time Coding Conformal Metasurfaces for Multifrequency Beam Steering and Shaping

Advanced Materials, EarlyView.
Space‐time coding conformal metasurfaces enable dynamic wave control on curved surfaces by combining programmable spatial patterns with temporal modulation. This study shows that a single conformal aperture can independently manipulate multiple frequency components, achieving multifunctional beam shaping and steering, with implications for ...
Filippo Pepe, Lei Zhang, Yi Ning Zheng, Xiao Qing Chen, Ivan Iudice, Giuseppe Castaldi, Marco Di Renzo, Tie Jun Cui, Vincenzo Galdi   +8 more
wiley   +1 more source

Graphs Induced by W-Regular Rings With Application to Zpn

International Journal of Mathematics and Mathematical Sciences
A ring R is called W-regular if for any non-nilpotent element a of R, there exists an element b of R such that a=aba. This ring is generalized to a regular ring and is a special type of π-regular ring; therefore, some results on rings that are regular ...
Mostafa Amer Khattab, Raida D. Mahmood, Mohammed Th. Al-Neima   +2 more
doaj   +1 more source

Relative integral basis for algebraic number fields

International Journal of Mathematics and Mathematical Sciences, 1986
At first conditions are given for existence of a relative integral basis for OK≅Okn−1⊕I with [K;k]=n. Then the constrtiction of the ideal I in OK≅Okn−1⊕I is given for proof of existence of a relative integral basis for OK4(m1,m2)/Ok(​m3).
Mohmood Haghighi
doaj   +1 more source

ITRU: NTRU-based cryptosystem using ring of integers [PDF]

, 2017
NTRU is a public key cryptosystem whose structure is based on the polynomial ring of integers. We present ITRU, an NTRU-like cryptosystem based on the ring of integers.
Gaithuru, Juliet Nyokabi, Salleh, Mazleena   +1 more
core  

Giant Anisotropy and High Second‐Order Nonlinearity of 3R‐MoS2 for Multifunctional Photonics

Advanced Materials, EarlyView.
Graphical abstract highlights, 3R‐polytype of MoS2 (3R‐MoS2) as a multifunctional photonic platform enabled by giant optical anisotropy and optical nonlinearities, demonstrating subdiffractional waveguiding, giant second‐harmonic (SH) generation, and high‐performance reflective polarization control.
Georgy Ermolaev, Dmitriy Grudinin, Liudmila Klimova, Adilet Toksumakov, Mikhail Gubin, Anton Minnekhanov, Aleksandr Slavich, Mikhail Mironov, Arslan Mazitov, Dmitry Yakubovsky, Nikolay Pak, Andrey Vyshnevyy, Ivan Kruglov, Gleb Tselikov, Alexei Prokhorov, Aleksey Arsenin, Kostya S. Novoselov, Valentyn Volkov   +17 more
wiley   +1 more source

On commutativity of one-sided s-unital rings

International Journal of Mathematics and Mathematical Sciences, 1992
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

On commutativity of prime and semiprime rings with generalized derivations

Ratio Mathematica, 2020
Let $R$ be a prime ring, extended centroid $C$ and $m, n, k \geq1$ are fixed integers. If $R$ admits a generalized derivation $F$ associated with a derivation $d$ such that $(F(x)\circ y)^{m}+(x\circ d(y))^{n}=0$ or $(F(x)\circ_{m} y)^{k} + x\circ_{n} d ...
MD Hamidur Rahaman
doaj   +1 more source

Elimination theory for the ring of algebraic integers.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1988
Let \(\mathcal R\) be the ring of all algebraic integers, \(\mathcal R\subset\mathbb C\). The author proves the following elimination theorem: Each elementary problem about \(\mathcal R\) can be effectively reduced to a finite number of ideal membership questions about the algebraic integers constructed by a simple algorithm from the parameters of the ...
openaire   +2 more sources

Additive number theory and the ring of quantum integers [PDF]

Electronic Notes in Discrete Mathematics, 2005
LaTex.
openaire   +2 more sources