Results 81 to 90 of about 2,564,160 (191)

Structure of Finite-Dimensional Protori

Axioms, 2019
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
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The hybrid mean value of Dedekind sums and two-term exponential sums

Open Mathematics, 2016
In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and ...
Leran Chang, Xiaoxue Li
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An identity involving automorphisms of prime rings inspired by Posner's theorem

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

, 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

Jacobi's identity and the König-Egerváry theorem

Discrete Mathematics, 1984
AbstractThe König-Egerváry theorem, which asserts that the maximum size of a partial matching in a relation equals the minimum size of a separating set, is proved using Jacobi's identity relating complementary minors in a matrix and its adjugate.
openaire   +2 more sources

Periodic rings with commuting nilpotents

International 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

Fatou’s identity and Lebesgue’s convergence theorem [PDF]

Proceedings of the American Mathematical Society, 1999
The classical Fatou lemma for bounded sequences of nonnegative integrable functions is represented as an equality. A similar result is stated for measure convergent sequences. Neither result requires a uniform integrability assumption. For the latter a converse is proven. Two extensions of Lebesgue's convergence theorem are presented.
openaire   +2 more sources

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

Opuscula 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

Electronic 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  

Partial Torelli groups and homological stability

, 2019
We prove a homological stability theorem for the subgroup of the mapping class group acting as the identity on some fixed portion of the first homology group of the surface.
Putman, Andrew
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