Results 111 to 120 of about 131,023 (367)

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

RING STRUCTURE OF INTEGER-VALUED RATIONAL FUNCTIONS

Journal of Commutative Algebra
$\DeclareMathOperator{\IntR}{Int{}^\text{R}}$Integer-valued rational functions are a natural generalization of integer-valued polynomials. Given a domain $D$, the collection of all integer-valued rational functions over $D$ forms a ring extension $\IntR(D)$ of $D$. For a valuation domain $V$, we characterize when $\IntR(V)$ is a Prüfer domain and when $
openaire   +2 more sources

P-adic Approximation of Algebraic Integers and Residue Class Rings of Rings of Integer-Valued Polynomials

Let F:K be a Galois extension of number fields and Q a prime ideal of O_F lying over the prime P of O_K. By analyzing the Q-adic closure of O_K in O_F we characterize those rings of integers O_K for which every residue class ring of Int(O_K) modulo a non-zero prime ideal is GE2 (meaning that every unimodular pair can be trasformed to (1,0) by a series ...
Frisch, Sophie, Halter-Koch, Franz
openaire   +2 more sources

Rings of integer-valued rational functions

Journal of Pure and Applied Algebra, 1998
For \(D\) an integral domain with quotient field \(K\) and \(E \subseteq D\), let \(\text{Int} (E, D)= \{f \in K[x]\mid f(E) \subseteq D\}\) and \(\text{Int}^R (E, D) = \{f \in K (x) \mid f(E) \subseteq D\}\). For a large class of rings, called \(D\)-rings (which includes \({\mathbb Z}\)), \(\text{Int}^R (D, D) = \text{Int} (D, D)\).
Loper, Alan, Cahen, Paul-Jean
openaire   +1 more source

Immunomodulatory Hydrogel Coating with SeNPs and Lithium Silicate Synergistically Promotes Osseointegration and Prevents Infection on Titanium Implants

Advanced Science, EarlyView.
This study introduces a multifunctional hydrogel coating (Lap‐CMCSMA/GelMA@SeNPs) that scavenges ROS, modulates immune responses, and shows strong antibacterial activity. It effectively restores the peri‐implant microenvironment. The coating exhibits excellent biocompatibility and promotes osteogenic differentiation.
Su Jiang, Baisheng Cai, Cong Ye, Kefan Wu, Kuan Liu, Pengcheng Xu, Fan Liu, Yake Liu   +7 more
wiley   +1 more source

Matrices over rings of algebraic integers

Linear Algebra and its Applications, 1991
For matrices over a domain R of algebraic integers the authors investigate: (i) completions, (ii) the Hermite form, (iii) the Schur form, (iv) the Smith form, and (v) links relating eigenvalues and Smith invariants. These items have been investigated previously but not in the present context.
Newman, Morris, Thompson, Robert C.
openaire   +2 more sources

Single‐Target Pairing System (StarPair) for Large‐Scale Interrogation of Cell–Cell Interactions

Advanced Science, EarlyView.
This work presents a single‐target pairing system, StarPair, enabling cell–cell interaction studies by target combination in droplets. StarPair offers superior pairing efficiencies over 95% and operation frequencies of 105 pairs per 9.5 h for two‐target pairing, allowing large‐scale interrogation of immune cell‐cancer cell interactions and precise ...
Tianjiao Mao, Lang Nan, Miao Xu, Kehao Zeng, Yuchao Wang, Ziyu Han, Ho Cheung Shum   +6 more
wiley   +1 more source

On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory [PDF]

Journal of Fuzzy Extension and Applications
Integers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory to share keys and decrypt and encrypt messages and multimedia.
Mohammad Abobala, Hasan Sankari, Mohamed Zeina   +2 more
doaj   +1 more source

Factor rings of the Gaussian integers

Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie, 2004
Whereas the homomorphic images of Z (the ring of integers) are well known, namely Z, {0} and Zn (the ring of integers modulo n), the same is not true for the homomorphic im-ages of Z[i] (the ring of Gaussian integers). More generally, let m be any nonzero square free integer (positive or negative), and consider the integral domain Z[ √m]={a + b √m | a,
Cody Patterson, Kirby C. Smith, Leon Van Wyk   +2 more
openaire   +2 more sources

POSS Polyimide Composite Sealed Triple‐Junction GaAs Thin‐Film Solar Cell for Long‐Term Low Earth Orbit Serve

Advanced Science, EarlyView.
Ultrathin oxide layer and ultraviolet absorbent are introduced into polyhedral oligomeric silsesquioxane (POSS) polyimide to improve the transmittance conservation and realize near zero mass loss against ultraviolet and atomic oxygen exposures. The POSS polyimide composite sealed triple‐junction GaAs thin‐film solar cell exhibits enhanced endurance of ...
Min Qian, Min Wu, Xiaoyang Xuan, Yang Gao   +3 more
wiley   +1 more source