OnK 0-functions and regular extension operators

1992 ◽  
Vol 59 (3) ◽  
pp. 272-275 ◽  
Author(s):  
Jose L. Blasco
Keyword(s):  
Regular Extension

scholarly journals Bounded realization of l-groups over global fields

1998 ◽  
Vol 150 ◽  
pp. 13-62 ◽  
Author(s):  
Wulf-Dieter Geyer ◽  
Moshe Jarden
Keyword(s):  
Finite Field ◽  
Prime Number ◽  
Finite Fields ◽  
Galois Extension ◽  
Prime Ideals ◽  
Transfer Principle ◽  
Global Fields ◽  
Regular Extension ◽  
Root Of Unity ◽  
Result Theorem

Abstract.We use the method of Scholz and Reichardt and a transfer principle from finite fields to pseudo finite fields in order to prove the following result. THEOREM Let G be a group of order ln, where l is a prime number. Let K0be either a finite field with |K0| > l4n+4or a pseudo finite field. Suppose that l ≠ char(K0) and that K0does not contain the root of unity ζl of order l. Let K = K0(t), with t transcendental over K0. Then K has a Galois extension L with the following properties: (a) (L/K) ≅ G; (b) L/K0is a regular extension; (c) genus(L) < ; (d) K0[t] has exactly n prime ideals which ramify in L; the degree of each of them is [K0: K0]; (e) (t)∞totally decomposes in L; (f) L = K(x), withand deg(ai(t)) < deg(a1(t)) for i = 1,…,ln.

The disjunction and related properties for constructive Zermelo-Fraenkel set theory

2005 ◽  
Vol 70 (4) ◽  
pp. 1233-1254 ◽  
Author(s):  
Michael Rathjen
Keyword(s):  
Set Theory ◽  
Proof Technique ◽  
Disjunction Property ◽  
Regular Extension ◽  
Existence Property ◽  
Extension Axiom

AbstractThis paper proves that the disjunction property, the numerical existence property. Church's rule, and several other metamathematical properties hold true for Constructive Zermelo-Fraenkel Set Theory, CZF, and also for the theory CZF augmented by the Regular Extension Axiom.As regards the proof technique, it features a self-validating semantics for CZF that combines realizability for extensional set theory and truth.

scholarly journals REB’s statistical series: surveys of industrial enterprises

2021 ◽  
pp. 15-45
Author(s):  
S. Aukutsionek ◽  
A. Batyaeva ◽  
N. Dyomina ◽  
A. Egorov ◽  
A. Matveev
Keyword(s):  
Comparative Analysis ◽  
Statistical Data ◽  
Economic Indicators ◽  
Regular Extension ◽  
Industrial Enterprises ◽  
Statistical Series ◽  
Wide Range

Industrial indexes of the Russian Economic Barometer cover a wide range of economic indicators of Russia’s industrial enterprises. The article presents the basic statistical data collected on a monthly, quarterly and semi-annual base by the Russian Economic Barometer through direct surveys of industrial enterprises’ managers. Regular extension of rows allows to consider the dynamics of more than 100 series of indicators, to conduct a comparative analysis of data collected since 1991.

scholarly journals REB’s statistical series: surveys of industrial enterprises

2021 ◽  
pp. 24-55
Author(s):  
S. Aukutsionek ◽  
A. Batyaeva ◽  
N. Dyomina ◽  
A. Egorov ◽  
A. Matveev
Keyword(s):  
Comparative Analysis ◽  
Statistical Data ◽  
Economic Indicators ◽  
Regular Extension ◽  
Industrial Enterprises ◽  
Statistical Series ◽  
Wide Range

Industrial indexes of the Russian Economic Barometer cover a wide range of economic indicators of Russia’s industrial enterprises. The article presents the basic statistical data collected on a monthly, quarterly and semi-annual base by the Russian Economic Barometer through direct surveys of industrial enterprises’ managers. Regular extension of rows allows to consider the dynamics of more than 100 series of indicators, to conduct a comparative analysis of data collected since 1991.

scholarly journals REB’s statistical series: surveys of industrial enterprises

2021 ◽  
pp. 22-53
Author(s):  
S. Aukutsionek ◽  
A. Batyaeva ◽  
N. Dyomina ◽  
A. Egorov ◽  
A. Matveev
Keyword(s):  
Comparative Analysis ◽  
Statistical Data ◽  
Economic Indicators ◽  
Regular Extension ◽  
Industrial Enterprises ◽  
Statistical Series ◽  
Wide Range

Industrial indexes of the Russian Economic Barometer cover a wide range of economic indicators of Russia’s industrial enterprises. The article presents the basic statistical data collected on a monthly, quarterly and semi-annual base by the Russian Economic Barometer through direct surveys of industrial enterprises’ managers. Regular extension of rows allows to consider the dynamics of more than 100 series of indicators, to conduct a comparative analysis of data collected since 1991.

scholarly journals REB’s statistical series: surveys of industrial enterprises

2020 ◽  
pp. 23-54
Author(s):  
S. Aukutsionek ◽  
A. Batyaeva ◽  
N. Dyomina ◽  
A. Egorov ◽  
A. Matveev
Keyword(s):  
Comparative Analysis ◽  
Statistical Data ◽  
Economic Indicators ◽  
Regular Extension ◽  
Industrial Enterprises ◽  
Statistical Series ◽  
Wide Range

Industrial indexes of the Russian Economic Barometer cover a wide range of economic indicators of Russia’s industrial enterprises. The article presents the basic statistical data collected on a monthly, quarterly and semi-annual base by the Russian Economic Barometer through direct surveys of industrial enterprises managers. Regular extension of rows allows to consider the dynamics of more than 100 series of indicators, to conduct a comparative analysis of data collected since 1991.

scholarly journals REB’s statistical series: surveys of industrial enterprises

2021 ◽  
pp. 14-45
Author(s):  
S. Aukutsionek ◽  
A. Batyaeva ◽  
N. Dyomina ◽  
A. Egorov ◽  
A. Matveev
Keyword(s):  
Comparative Analysis ◽  
Statistical Data ◽  
Economic Indicators ◽  
Regular Extension ◽  
Industrial Enterprises ◽  
Statistical Series ◽  
Wide Range

Industrial indexes of the Russian Economic Barometer cover a wide range of economic indicators of Russia’s industrial enterprises. The article presents the basic statistical data collected on a monthly, quarterly and semi-annual base by the Russian Economic Barometer through direct surveys of industrial enterprises’ managers. Regular extension of rows allows to consider the dynamics of more than 100 series of indicators, to conduct a comparative analysis of data collected since 1991.

scholarly journals REB indexes

2020 ◽  
pp. 28-73
Author(s):  
S. Aukutsionek ◽  
A. Batyaeva ◽  
N. Dyomina ◽  
A. Egorov ◽  
A. Matveev
Keyword(s):  
Comparative Analysis ◽  
Statistical Data ◽  
Economic Indicators ◽  
Agricultural Enterprises ◽  
Regular Extension ◽  
Industrial Enterprises ◽  
Wide Range

“REB indexes” cover a wide range of economic indicators of Russian industrial enterprises. The article presents basic statistical data collected on a monthly, quarterly and semi-annual base by the Russian Economic Barometer by means of direct questioning of managers of industrial and agricultural enterprises. Regular extension of rows allows seeing dynamics of more than 70 series of indicators and conducting comparative analysis of data collectedsince 1991.

scholarly journals Regular subspaces of skew product diffusions

2016 ◽  
Vol 28 (5) ◽  
pp. 857-872 ◽  
Author(s):  
Liping Li ◽  
Jiangang Ying
Keyword(s):  
State Space ◽  
Dirichlet Form ◽  
Additive Functional ◽  
Skew Product ◽  
Smooth Measure ◽  
Formula One ◽  
Regular Extension ◽  
Regular Subspace ◽  
Symmetric Markov Process ◽  
Rotationally Invariant

AbstractRoughly speaking, the regular subspace of a Dirichlet form is also a regular Dirichlet form on the same state space. It inherits the same form of the original Dirichlet form but possesses a smaller domain. What we are concerned in this paper are the regular subspaces of associated Dirichlet forms of skew product diffusions. A skew product diffusion X is a symmetric Markov process on the product state space ${E_{1}\times E_{2}}$ and expressed as$X_{t}=(X^{1}_{t},X^{2}_{A_{t}}),\quad t\geq 0,$where ${X^{i}}$ is a symmetric diffusion on ${E_{i}}$ for ${i=1,2}$, and A is a positive continuous additive functional of ${X^{1}}$. One of our main results indicates that any skew product type regular subspace of X, say$Y_{t}=(Y^{1}_{t},{Y^{2}_{\tilde{A}_{t}}}),\quad t\geq 0,$can be characterized as follows: the associated smooth measure of ${\tilde{A}}$ is equal to that of A, and ${Y^{i}}$ corresponds to a regular subspace of ${X^{i}}$ for ${i=1,2}$. Furthermore, we shall make some discussions on rotationally invariant diffusions on ${\mathbb{R}^{d}\setminus\{{\mathbf{0}}\}}$, which are special skew product diffusions on ${(0,\infty)\times S^{d-1}}$. Our main purpose is to extend a regular subspace of rotationally invariant diffusion on ${\mathbb{R}^{d}\setminus\{{\mathbf{0}}\}}$ to a new regular Dirichlet form on ${\mathbb{R}^{d}}$. More precisely, fix a regular Dirichlet form ${(\mathcal{E,F}\kern 0.569055pt)}$ on the state space ${\mathbb{R}^{d}}$. Its part Dirichlet form on ${\mathbb{R}^{d}\setminus\{{\mathbf{0}}\}}$ is denoted by ${(\mathcal{E}^{0},\mathcal{F}{}^{0})}$. Let ${(\tilde{\mathcal{E}}^{0},\tilde{\mathcal{F}}{}^{0})}$ be a regular subspace of ${(\mathcal{E}^{0},\mathcal{F}{}^{0})}$. We want to find a regular subspace ${(\tilde{\mathcal{E}},\tilde{\mathcal{F}}\kern 0.569055pt)}$ of ${(\mathcal{E,F}\kern 0.569055pt)}$ such that the part Dirichlet form of ${(\tilde{\mathcal{E}},\tilde{\mathcal{F}}\kern 0.569055pt)}$ on ${\mathbb{R}^{d}\setminus\{{\mathbf{0}}\}}$ is exactly ${(\tilde{\mathcal{E}}^{0},\tilde{\mathcal{F}}{}^{0})}$. If ${(\tilde{\mathcal{E}},\tilde{\mathcal{F}}\kern 0.569055pt)}$ exists, we call it a regular extension of ${(\tilde{\mathcal{E}}^{0},\tilde{\mathcal{F}}{}^{0})}$. We shall prove that, under a mild assumption, any rotationally invariant type regular subspace of ${(\mathcal{E}^{0},\mathcal{F}{}^{0})}$ has a unique regular extension.

scholarly journals REB indexes

2021 ◽  
pp. 17-74
Author(s):  
S. Aukutsionek ◽  
A. Batyaeva ◽  
N. Dyomina ◽  
A. Egorov ◽  
A. Matveev
Keyword(s):  
Comparative Analysis ◽  
Statistical Data ◽  
Economic Indicators ◽  
Agricultural Enterprises ◽  
Regular Extension ◽  
Industrial Enterprises ◽  
Wide Range

“REB indexes” cover a wide range of economic indicators of Russian industrial enterprises. The article presents basic statistical data collected on a monthly, quarterly and semi-annual base by the Russian Economic Barometer by means of direct questioning of managers of industrial and agricultural enterprises. Regular extension of rows allows seeing dynamics of more than 70 series of indicators and conducting comparative analysis of data collected since 1991.

Sign in / Sign up

Export Citation Format

Share Document