Results 51 to 60 of about 2,582,876 (339)
Scalar characterization in Banach Jordan algebras
Using a Diagonalization Theorem obtained when the spectrum is Lipschitzian, we extend a result of G. Braatvedt on scalar characterization in Banach algebras to Banach-Jordan algebras.
Abdelaziz Maouche
doaj +1 more source
Existing security and identity-based vehicular communication protocols used in Vehicular Ad-hoc Networks (VANETs) to achieve conditional privacy-preserving mostly rely on an ideal hardware device called tamper-proof device (TPD) equipped in vehicles ...
Jing Zhang +4 more
semanticscholar +1 more source
Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales
This paper studies Sturm-Picone comparison theorem of second-order linear equations on time scales. We first establish Picone identity on time scales and obtain our main result by using it.
Shurong Sun, Chao Zhang
doaj +2 more sources
A Note on Four-Variable Reciprocity Theorem
We give new proof of a four-variable reciprocity theorem using Heine's transformation, Watson's transformation, and Ramanujan's 1𝜓1-summation formula. We also obtain a generalization of Jacobi's triple product identity.
Chandrashekar Adiga, P. S. Guruprasad
doaj +1 more source
Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
doaj +1 more source
Commutativity Theorems in Groups with Power-like Maps
There are several commutativity theorems in groups and rings which involve power maps f(x) = xn. The most famous example of this kind is Jacobson's theorem which asserts that any ring satisfying the identity xn = x is commutative.
Ranganathan Padmanabhan, Yang Zhang
doaj +1 more source
Note on identities inspired by new soft theorems [PDF]
The new soft theorems, for both gravity and gauge amplitudes, have inspired a number of works, including the discovery of new identities related to amplitudes. In this note, we present the proof and discussion for two sets of identities. The first set includes an identity involving the half-soft function which had been used in the soft theorem for one ...
Rao, Junjie, Feng, Bo
openaire +5 more sources
Improved inclusion-exclusion identities via closure operators [PDF]
Let (A v) v ∈ V be a finite family of sets. We establish an improved inclusion-exclusion identity for each closure operator on the power set of V having the unique base property.
Klaus Dohmen
doaj +2 more sources
On commutativity of one-sided s-unital rings
The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
doaj +1 more source
Eilenberg-Watts calculus for finite categories and a bimodule Radford 𝑆⁴ theorem [PDF]
We obtain Morita invariant versions of Eilenberg-Watts type theorems, relating Deligne products of finite linear categories to categories of left exact as well as of right exact functors.
J. Fuchs +2 more
semanticscholar +1 more source

