Results 71 to 80 of about 140 (98)

Left Annihilators of Commutators with Derivation on Right Ideals

Communications in Algebra, 2003
Abstract Let R be a prime ring of characteristic different from 2, d a non-zero derivation of R, I a non-zero right ideal of R, a ∈ R, S 4(x 1,…, x 4) the standard polynomial in 4 variables. Suppose that, for any x, y ∈ I, a[d([x, y]), [x, y]] = 0. If S 4(I, I, I, I)I ≠ 0, then aI = ad(I) = 0.
Vincenzo de Filippis
exaly   +3 more sources

Left annihilators of power values of commutators with generalized derivations

Georgian Mathematical Journal, 2012
Summary: Let \(R\) be a prime ring with its Utumi ring of quotients \(U\), \(C=Z(U)\) the extended centroid of \(R\), \(H\) a generalized derivation of \(R\) and \(L\) a noncentral Lie ideal of \(R\). Suppose that there exists \(0\neq a\in R\) such that \(a[H(u),u]^n=0\) for all \(u\in L\), where \(n\geq 1\) is a fixed integer.
Basudeb Dhara
exaly   +2 more sources

Skew left braces with non-trivial annihilator

Journal of Algebra and Its Applications, 2019
We describe the class of all skew left braces with non-trivial annihilator through ideal extension of a skew left brace. The ideal extension of skew left braces is a generalization to the non-abelian case of the extension of left braces provided by Bachiller in [D. Bachiller, Extensions, matched products, and simple braces, J. Pure Appl.
Catino, Francesco   +2 more
openaire   +4 more sources

Left annihilator of generalized derivations on Lie ideals in prime rings

Rendiconti del Circolo Matematico di Palermo (1952 -), 2014
For an associative ring \(R\), if \(d\in\text{der}(R)\) and \(F\colon R\to R\) is additive, so that for all \(x,y \in R\) \(F(xy)=F(x)y+xd(y)\) then \((F,d)\) is called a generalized derivation of \(R\). The authors assume that \(R\) is a prime ring, \(a\in R\), \(L\) is a noncentral Lie ideal of \(R\), and \((F,d)\) is a generalized derivation of \(R\)
Shujat, Faiza, Khan, Shahoor
openaire   +1 more source

Left-Right Asymmetry in Pair Annihilation for Transversally Polarized Positrons

Physical Review, 1962
S>A left-right asymmetry of the photons in the electronpositron annihilation cross section is found for the case when only the incident positron is polarized. This asymmetry results from a radiative correction. ln the calculation the target electron is unpolarized and it is assumed that the polarizations of the resulting photons are not measured.
S. C. Miller, R. M. Wilcox
openaire   +1 more source

Left Annihilator of Commutator Identity with Generalized Derivations and Multilinear Polynomials in Prime Rings

Communications in Algebra, 2016
Let R be a prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, F a nonzero generalized derivation of R, I an ideal of R, and f(x1,…, xn) a multilinear polynomial over C which is not central valued on R. If 0 ≠ a ∈ R such that for all u, v ∈ f(I), where f(I) is the set of all evaluations of f(x1,…, xn) in I,
R. K. Sharma, B. Dhara, S. K. Tiwari
openaire   +1 more source

Structure of left-continuous triangular norms with strong induced negations (II) Rotation-annihilation construction

Journal of Applied Non-Classical Logics, 2001
This paper is the continuation of [11] where the rotation construction of left-continuous triangular norms was presented. Here the class of triangular subnorms and a second construction, called rotation-annihilation, are introduced: Let T1 be a left-continuous triangular norm.
openaire   +1 more source

Multiplicative (generalized)-derivations acting on left sided ideals with annihilator conditions in semiprime rings

Boletín de la Sociedad Matemática Mexicana
Let \(R\) be a (semi)prime ring with center \(Z(R)\), \(\lambda\) be a nonzero left ideal of \(R\) and \(F\) a map (not necessarily additive) defined on \(R\). It is a multiplicative generalized derivation if there exists a derivation \(d\) of \(R\) such that \(F(xy) = F(x)y+xd(y)\) for all \(x, y \in R\). Notice that if \(F\) is an additive map of \(R\
Sourav Ghosh   +2 more
openaire   +1 more source

Off-peak inclusive J/ψ and associated $${J \mathord{\left/ {\vphantom {J \psi }} \right. \kern-\nulldelimiterspace} \psi } + c + \bar c$$ and J/ψ+η c production in e + e − annihilation at BELLE

Physics of Atomic Nuclei, 2004
We consider the inclusive and associated production of J/ψ mesons under BELLE conditions. In the framework of QCD perturbation theory and nonrelativistic bound-state formalism, the different production mechanisms are analyzed in detail. The calculations are compared with recent experimental data, and significant disagreement is found in a few cases ...
openaire   +1 more source

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