H0R结构刻画环R

对于可换环R,通过考察H0R的结构和性质给出了环R的有关刻画.以H0结构为工具,利用相关环还得到了K0R的CPF性、连通性等的重要特征.     

R(∞) is diffeomorphic to R(∞)∖{0}

We construct a one-to-one map of the topological direct sum R⁽⁾ of countably many copies of the real line onto R⁽⁾{0} which is infinitely differentiable along with its inverse, in the sense of Michael-Bastiani.Translated from Matematicheskie Zametki, Vol. 20, No. 5, pp. 741–746, November, 1976.     

R×R上到R的某类1-1映射的不存在性

In p.32 of [1] the following problem is posed: A problem on Peano mapping Let R be the set of positive rational integers with usual operation a+b≡s(a,b) and a·b≡m(a,b). Every one-to-one(Peano) mapping c=p(a,b) on R×R to all R may serve so associate with s(a,b) and m(a,b) two functions σand μ on R to R by the definitions σ(c)=σ(p(a,b))= s(a,b), and μ(c)=μ(p(a,b))= m(a,b). Does there exist a Peano mapping p(a,b) such that "addition commutes with multiplication" in the sense that σ(μ(c))=μ(σ(c))for all c of R? To illustrate, we note     

Noether环R中的素谱Spec(R)

本文首先证明了:在二维局部整环(R,m)中,高为1的素理想的集Σ是无限集.     

H~p(R×…×R)的原子分解

本文改进了 S.Y.A.Chang及R.Fefferman的H~p(R×R)原子分解定理,O相似文献   

Komplexe Räume

Ohne ZusammenfassungUnserem Lehrer,Heinrich Behnke, in Dankbarkeit und Verehrung zum 60. Geburtstag gewidmetDas Hauptresultat der vorliegenden Arbeit wurde in einer CR-Note der Verff. angekündigt; vgl. [18]     

KAM à la R

Recently Rüssmann proposed a new variant of kam-theory based on a slowly converging iteration scheme. It is the purpose of this note to make this scheme accessible in an even simpler setting, namely for analytic perturbations of constant vector fields on a torus. As a side effect the result may be the shortest complete kam proof for perturbations of integrable vector fields available so far.     

关于2R（w2R）范数的一个注记

证明了自反Banach空间X上的等价w2R范数全体构成一个剩余集;同时证明了X闭子空间上等价的w2R范数均可延拓为X上等价的w2R范数.特别地,当X是可分时,上述w2R范数可替换为2R范数.     

Die oskulierenden Riemannschen Räume regulärer Cartanscher Räume

Ohne Zusammenfassung     

广义R0-代数

给出一种基于左连续的广义t-模的代数——广义R0-代数的定义和若干性质。     

Räume mit Mittelbildungen

Ohne Zusammenfassung Herrn Heinz Hopf in Verehrung und Freundschaft zum 60. Geburtstag gewidmet     

Tubenumgebungen Steinscher Räume

Let X be a complex space and YX a closed analytic subspace. If Y is Stein then for every compact subset KY one can find arbitrarily small Stein open neighbourhoods of K in X.     

The generalized Rédei-matrix

Let F be a number field with odd class number, and let E be a quadratic extension of F. Our main aim is to prove that the 4-rank of the class group C(E) of E is equal to m − 1 − rank R _E/F , where m is the number of primes of F ramifying in E, R _E/F is the generalized Rédei-matrix of local Hilbert symbols with coefficients in and the rank is the rank over . We determine the generalized Rédei-matrices R _E/F explicitly for biquadratic number fields E. The research is partly supported by NNSF of China (No. 10371054, No. 10771100) and the Morningside Center of Mathematics in Beijing (MCM).     

The Relative Properties of Graded Ring R and Smash Product R # G

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局部R0-代数

文提出了局部R0-代数的概念,并给出了相应的等价条件,即(i)R0-代数L是局部的,(ii)(?)x∈L,ord(x)<∞或ord(-x)<∞,(iii)每—个真滤子是primary.另外,我们又证明了任一R0-代数是局部R0-代数的子直积.     

Einbettung metrischer Räume

Ohne Zusammenfassung     

关于R.WHITLEY定理

以‖·‖(?)表示〔-1,1〕上的 L_p 范数,1≤p≤∝,‖·‖_p=(?)|·|~p dx,0相似文献   

Über die Einbettung hyperbolischer Räume in euklidische Räume

Ohne Zusammenfassung