Results 41 to 50 of about 123,101 (223)
A note on commutativity of rings with additive mappings [PDF]
V članku je obravnavana komutativnost kolobarjev v povezavi z aditivnimi preslikavami in komutatorji.We investigate commutativity of the ring ▫$R$▫ involving some additive mapping with necessary torsion restrictions on commutators.
Fošner, Ajda +2 more
core +2 more sources
A commutativity theorem for rings [PDF]
We prove the following theorem: Let R be a ring, l a positive integer, and n a non-negative integer. If for each x, y ∈ R, either xy = yx or xy = xn f(y)x1 for some f(X) ∈ X2Z[X], then R is commutative.
Hiroaki Komatsu +2 more
openaire +1 more source
Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley +1 more source
A Commutativity theorem for semiprime rings [PDF]
AbstractIt is shown that if R is a semiprime ring with 1 satisfying the property that, for each x, y ∈ R, there exists a positive integer n depending on x and y such that (xy)k − xkyk is central for k = n,n+1, n+2, then R is commutative, thus generalizing a result of Kaya.
openaire +2 more sources
Hilbert's Basis Theorem for Poisson Ore Extensions
ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck +3 more
wiley +1 more source
Some structural theorems for inelastic solids : an internal variable approach. [PDF]
Includes bibliographical references.The theory of inelastic solids involving thermodynamic potential functions with internal variables is reviewed.
Carter, Peter
core +1 more source
A Commutativity Theorem for Division Rings [PDF]
AbstractLet D be a division ring with center Z. Suppose for all xϵD, there exists a monic polynomial, fx(t), with integer coefficients such that fx(x)ϵZ. Then D is commutative.
openaire +2 more sources
Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$
ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
wiley +1 more source
Diametric theorems in sequence spaces [PDF]
Ahlswede R, Cai N, Zhang Z. Diametric theorems in sequence spaces. Combinatorica. 1992;12(1):1-17.We determine in almost all Manhattan lattices configurations, which for specified diameter have maximal cardinality.
Cai, Ning, Zhang, Zhen, Ahlswede, Rudolf
core +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source

