Results 41 to 50 of about 204,704 (282)

On Higher N-Derivation Of Prime Rings

open access: yesمجلة بغداد للعلوم, 2014
The main purpose of this work is to introduce the concept of higher N-derivation and study this concept into 2-torsion free prime ring we proved that:Let R be a prime ring of char.
Baghdad Science Journal
doaj   +1 more source

On weakly S-prime ideals of commutative rings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
Let R be a commutative ring with identity and S be a multiplicative subset of R. In this paper, we introduce the concept of weakly S-prime ideals which is a generalization of weakly prime ideals. Let P be an ideal of R disjoint with S. We say that P is a
Almahdi Fuad Ali Ahmed   +2 more
doaj   +1 more source

DERIVATIONS ON PRIME AND SEMI-PRIME RINGS

open access: yesBulletin of the Korean Mathematical Society, 2002
Several results concerning derivations on rings and Banach algebras are proved. A sample theorem: Let \(n\) be a positive integer and let \(R\) be an \(n!\)-torsionfree semiprime ring. If \(D\) and \(G\) are derivations on \(R\) such that \([D^2(x)+G(x),x^n]=0\) for all \(x\in R\), then \([D(x),x]=[G(x),x]=0\) for all \(x\in R\).
Lee, Eun Hwi   +2 more
openaire   +2 more sources

Personalized Selumetinib Dosing in Pediatric Neurofibromatosis Type 1: Insights From a Pilot Therapeutic Drug Monitoring Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Objective To evaluate selumetinib exposure using therapeutic drug monitoring (TDM) in pediatric patients with neurofibromatosis type 1 (NF1) and plexiform neurofibromas (PN), assess interpatient pharmacokinetic variability, and explore the relationship between drug exposure, clinical response, and adverse effects.
Janka Kovács   +8 more
wiley   +1 more source

The slice Burnside ring and the section Burnside ring of a finite group

open access: yes, 2011
This paper introduces two new Burnside rings for a finite group $G$, called the slice Burnside ring and the section Burnside ring. They are built as Grothendieck rings of the category of morphisms of $G$-sets, and of Galois morphisms of $G$-sets ...
Bouc, Serge
core   +1 more source

Characteristic of Rings. Prime Fields

open access: yesFormalized Mathematics, 2015
Summary The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. Classification of prime fields in terms of isomorphisms with appropriate fields (ℚ or ℤ/p) are presented. To facilitate reasonings within the field of rational numbers, values of numerators and denominators of basic operations over
Schwarzweller, Christoph   +1 more
openaire   +2 more sources

Reciprocal control of viral infection and phosphoinositide dynamics

open access: yesFEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

On (?,?)-Derivations and Commutativity of Prime and Semi prime ?-rings

open access: yesمجلة بغداد للعلوم, 2016
Let R be a ?-ring, and ?, ? be two automorphisms of R. An additive mapping d from a ?-ring R into itself is called a (?,?)-derivation on R if d(a?b) = d(a)? ?(b) + ?(a)?d(b), holds for all a,b ?R and ???. d is called strong commutativity preserving (SCP)
Baghdad Science Journal
doaj   +1 more source

Commutativity Results on Prime Rings With Generalized Derivations [PDF]

open access: yesEngineering and Technology Journal, 2016
Let R be a prime ring. For nonzero generalized derivations F and G associated with the same derivation d, we prove that if d≠0, then R is commutative, if any one of the following conditions hold: (1) [F(x), G(y)]  0, (2) F(x)oG(y)  0, (3) F(x)oG(y ...
A. Majeed, Shaima,a Yass
doaj   +1 more source

Graded weakly 1-absorbing prime ideals

open access: yesCubo, 2022
In this paper, we introduce and study graded weakly 1-absorbing prime ideals in graded commutative rings. Let $G$ be a group and $R$ be a $G$-graded commutative ring with a nonzero identity $1\neq0$.
Ünsal Tekir   +3 more
doaj   +1 more source

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