Extension of Hardy–Littlewood–Sobolev Inequalities for Riesz Potentials on Hypergroups

Mediterranean Journal of Mathematics - Let p be a prime number, let G be a finite group, let N be a normal subgroup of G, and let $$\theta $$ be a G-invariant irreducible character of N. In Rizo (J...     

A Note on S-Nakayama’s Lemma

Ukrainian Mathematical Journal - We propose an S-version of Nakayama’s lemma. Let R be a commutative ring, let S be a multiplicative subset of R, and let M be an S-finite R-module. Also let I...     

Algebraic entropy of amenable group actions

Mathematische Zeitschrift - Let R be a ring, let G be an amenable group and let $$R{*}G$$ be a crossed product. The goal of this paper is to construct, starting with a suitable additive function L...     

亚纯函数差分的亏量与值分布

研究亚纯函数差分的亏量与值分布,证明了:设c是一个非零有穷复数,f(z)是复平面C上的超越整函数,n是一个正整数.若△_c~nf(z)≠0,则或者f(z)取每个有穷复数无穷多次,或者△_c~nf(z)取每个非零有穷复数无穷多次.     

On Fisher Subgroups of Finite Groups

Ukrainian Mathematical Journal - Let ? be a Fitting set of a group G, let π be a nonempty set of primes, and let L ≤ G. In this case, ? is called a Fischer π-set of G if...     

On the Degree of Hilbert Polynomials of Derived Functors

Mathematical Notes - Given a d-dimensional Cohen–Macaulay local ring (R,m), let I be an m-primary ideal, and let J be a minimal reduction ideal of I. If M is a maximal Cohen–Macaulay...     

On Strongly Π-Permutable Subgroups of a Finite Group

Siberian Mathematical Journal - Let σ = {σi | i ∈ I} be some partition of the set of all primes ℙ,let ∅ ≠ Π ⊆ σ, and let G be a finite group. A set...     

Norm-Controlled Inversion in Weighted Convolution Algebras

Journal of Fourier Analysis and Applications - Let G be a discrete group, let $$p\ge 1$$, and let $$\omega $$ be a weight on G. Using the approach from Gröchenig and Klotz (J Lond Math Soc (2)...     

关于有序域的几则短记

Dubois在文[1]中举反例示明,在Artin所解决的Hilbert第17问题中所出现的系数域是个亚基米德有序域这一条件是不能减弱的(见[1]或者[7])在他所举出的反例中,隐约地使用了一些有关序与赋值相互关系的概念与事实,但都没有明显地提出或证明。这篇短文首先是阐明隐含在[1]中的一些概念和事实;其次指出他的例子还可以用来说明     

Distribution of Values of Rational Maps on the F p -Points on an Affine Curve

 Let p be a prime number, let be the algebraic closure of , let be an irreducible curve in and a rational map defined on the curve . We investigate the distribution on the torus of the images through h of the -points of .     

Distribution of Values of Rational Maps on the F p -Points on an Affine Curve

 Let p be a prime number, let be the algebraic closure of , let be an irreducible curve in and a rational map defined on the curve . We investigate the distribution on the torus of the images through h of the -points of . Received 9 May 2001     

SU(n,1)/S(U(n)×U(1))上的中心极限定理

Let G=SU(n,1),K=S(U(n)×u(1)),and for l∈Z,let{η)1∈Z be a one-Dimensional K-type and let E1 be the line bundle over G/K associated to η.In this work we obtain a central limit theorem for the space El.     

关于遗传代数上的例外序列自同态代数的Hochschild上同调与同调

令$A$是代数闭域$k$上的一个有限维结合代数, $\mod A$是有限维左$A$-模范畴,$X_1,X_2,\ldots,X_n$是$\mod A$中的完全例外序列,再令$E$是$X_1,X_2,\ldots,X_n$的自同态代数,我们在本文内,研究了$E$的总体维数,计算了$E$的Hochschild上同调群和同调群.     

关于遗传代数上的例外序列自同态代数的Hochschild上同调与同调

In this paper,let A be a finite dimensional associative algebra over an algebraically closed field k,modA be the category of finite dimensional left A-module and X1,X2,...,Xn,in modA be a complete exceptional sequence,and let E be the endomorphism algebra of X1,X2,...,Xn.We study the global dimension of E,and calculate the Hochschild cohomology and homology groups of E.     

Prequantization is irreducible

Let (M, ω) be a symplectic manifold with [ω] representing an integral cohomology class, let be its Poisson algebra, and let be a subset generating a dense subalgebra of . We show that the representation of by symmetric (and sometimes self-adjoint) operators obtained by the Kostant-Souriau prequantization is irreducible. In particular itself is irreducibly represented.     

整函数及其差分的唯一性

设f是一个有穷级的超越整函数,a,b,c是3个有穷复数,满足c≠0,a≠b,且n为正整数.如果a是f的Borel例外值,且Δ_c~nf(z)与f(z)IM分担b,则f(z)=a+Ae~(Bz),其中A,B为两个非零常数.     

Trace and Differences of Idempotents in C*-Algebras

Mathematical Notes - Let φ be atrace on aunital C*-algebra $$\mathcal{A}$$ , let $$\mathfrak{M}_\varphi$$ be the ideal of definition of the trace φ, and let $$P,Q\in\mathcal{A}$$ be...     

涉及导数与公共值的整函数

本文研究整函数f与f'具有一个公共值时的R.Brck问题,用一种较简便的方法证明了:若f与f'以有穷非零复数a为IM公共值,且存在正数M,使f(z)=a时0<│f'(z)│≤M,则f'a/f-a≡c,其中c为非零常数、此结论改进了G.Jank等人的结果。     

含有大的悬挂树图的Ramseygoodness结论(英文)

设H是阶为n的连通图.在H的某一个顶点上悬挂一棵阶为j的树,得到图H_j,用H_j表示这样的图形族.本文证明:当j充分大时,有r(G,H_j)=(x(G)-1)(n+j-1)+s(G),其中x(G),s(G)分别表示图G的色数和色数剩余.     

On the Distribution of the Digits in Lüroth Expansions

Lithuanian Mathematical Journal - For x ∈ [0, 1), let [d1(x), d2(x), . . .] be its Lüroth expansion, and let {pn(x)/qn(x)}n≥1 be the sequence of convergents of x. In this paper, we...