Results 51 to 60 of about 1,995,067 (86)

An identity involving automorphisms of prime rings inspired by Posner's theorem

open access: yesJournal of Taibah University for Science, 2018
Let ${\mathcal R}$ be a prime ring with centre ${\mathcal Z}(\mathcal {R})$, $\mathcal {L}$ a non-zero Lie ideal of ${\mathcal R}$, and σ a non-trivial automorphism of ${\mathcal R}$ such that $[[\sigma (u),u], \sigma (u)] \in \mathcal {Z}(\mathcal {R})$
Mohammad Ashraf, Sajad Ahmad Pary
doaj   +1 more source

A "quantum" Ramsey theorem for operator systems [PDF]

open access: yes, 2016
Let V be a linear subspace of M_n(C) which contains the identity matrix and is stable under the formation of Hermitian adjoints. We prove that if n is sufficiently large then there exists a rank k orthogonal projection P such that dim(PVP) = 1 or k^2.
N. Weaver
semanticscholar   +1 more source

A Quartic Key Identity for a Partition Theorem of Göllnitz

open access: yes, 1999
A key identity in three free parameters involving partitions into distinct parts is proved using Jackson's q -analog of Dougall's summation. This identity is shown to be combinatorially equivalent to a reformulation of a deep partition theorem of ...
K. Alladi, G. Andrews
semanticscholar   +1 more source

Periodic rings with commuting nilpotents

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
Let R be a ring (not necessarily with identity) and let N denote the set of nilpotent elements of R. Suppose that (i) N is commutative, (ii) for every x in R, there exists a positive integer k=k(x) and a polynomial f(λ)=fx(λ) with integer coefficients ...
Hazar Abu-Khuzam, Adil Yaqub
doaj   +1 more source

On the perfectness of C^{∞,s}-diffeomorphism groups on a foliated manifold [PDF]

open access: yesOpuscula Mathematica, 2008
The notion of \(C^{r,s}\) and \(C^{\infty,s}\)-diffeomorphisms is introduced. It is shown that the identity component of the group of leaf preserving \(C^{\infty,s}\)-diffeomorphisms with compact supports is perfect.
Jacek Lech
doaj  

Generalized Picone's identity and its applications

open access: yesElectronic Journal of Differential Equations, 2013
In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
doaj  

Determinants as Combinatorial Summation Formulas over an Algebra with a Unique $n$-ary Operation

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2018
Since the late 1980s the author has published a number of results on matrix functions, which were obtained using the generating functions, mixed discriminants (mixed volumes in $\mathbb R^n$), and the well-known polarization theorem (the most general ...
G.P. Egorychev
doaj   +1 more source

On some constants in simultaneous approximation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
Pointwise estimates for the error which is feasible in simultaneous approximation of a function and its derivatives by an algebraic polynomial were originally pursued from theoretical motivations, which did not immediately require the estimation of the ...
K. Balázs, T. Kilgore
doaj   +1 more source

Computing Equilibrium Free Energies Using Non-Equilibrium Molecular Dynamics

open access: yesEntropy, 2013
As shown by Jarzynski, free energy differences between equilibrium states can be expressed in terms of the statistics of work carried out on a system during non-equilibrium transformations.
Christoph Dellago, Gerhard Hummer
doaj   +1 more source

The Sampling Distribution of the Total Correlation for Multivariate Gaussian Random Variables

open access: yesEntropy, 2019
The sampling distribution of the total correlation (TC) for a d-dimensional standardized multivariate Gaussian random variable with an identity covariance matrix is derived. It is shown to be the distribution of a sum of generalized beta random variables.
Taylor Rowe, Troy Day
doaj   +1 more source

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