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Displaying 81 – 100 of 104

Fréchet algebras of power series

H. Garth Dales, Shital R. Patel, Charles J. Read (2010)

Banach Center Publications

We consider Fréchet algebras which are subalgebras of the algebra 𝔉 = ℂ [[X]] of formal power series in one variable and of 𝔉ₙ = ℂ [[X₁,..., Xₙ]] of formal power series in n variables, where n ∈ ℕ. In each case, these algebras are taken with the topology of coordinatewise convergence. We begin with some basic definitions about Fréchet algebras, (F)-algebras, and other topological algebras, and recall some of their properties; we discuss Michael's problem from 1952 on the continuity of characters...

Fredholm spectrum and growth of cohomology groups

Jörg Eschmeier (2008)

Studia Mathematica

Let T ∈ L(E)ⁿ be a commuting tuple of bounded linear operators on a complex Banach space E and let $σ_{F} (T) = σ (T) ∖ σ_{e} (T)$ be the non-essential spectrum of T. We show that, for each connected component M of the manifold $R e g (σ_{F} (T))$ of all smooth points of $σ_{F} (T)$ , there is a number p ∈ 0, ..., n such that, for each point z ∈ M, the dimensions of the cohomology groups $H^{p} ({(z - T)}^{k}, E)$ grow at least like the sequence ${(k^{d})}_{k \geq 1}$ with d = dim M.

Free minimal resolutions and the Betti numbers of the suspension of an $n$ -gon.

de Alwis, Tilak (2000)

International Journal of Mathematics and Mathematical Sciences

Free ℤ-module

Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama (2012)

Formalized Mathematics

In this article we formalize a free ℤ-module and its rank. We formally prove that for a free finite rank ℤ-module V , the number of elements in its basis, that is a rank of the ℤ-module, is constant regardless of the selection of its basis. ℤ-module is necessary for lattice problems, LLL(Lenstra, Lenstra and Lovász) base reduction algorithm and cryptographic systems with lattice [15]. Some theorems in this article are described by translating theorems in [21] and [8] into theorems of Z-module.

Free Resolutions of The Defining Ideal of Certain Rational Surfaces.

Sandeep H. Holay (1996)

Manuscripta mathematica

Freeness, linear disjointness, and implicitization -- a classical approach.

Steinwandt, Rainer, Müller-Quade, Jörn (2000)

Beiträge zur Algebra und Geometrie

Freie Auflösungen äusserer Potenzen.

Karsten Lebelt (1977)

Manuscripta mathematica

Frobenius et cohomologie locale

Jean-François Boutot (1974/1975)

Séminaire Bourbaki

Frobenius modules and Galois representations

B. Heinrich Matzat (2009)

Annales de l’institut Fourier

Frobenius modules are difference modules with respect to a Frobenius operator. Here we show that over non-archimedean complete differential fields Frobenius modules define differential modules with the same Picard-Vessiot ring and the same Galois group schemes up to extension by constants. Moreover, these Frobenius modules are classified by unramified Galois representations over the base field. This leads among others to the solution of the inverse differential Galois problem for $p$ -adic differential...

Frobenius pull-back of vector bundles of rank 2 over non-uniruled varieties.

Atushi Moriwaki (1993)

Mathematische Annalen

From a single chain to a large family of submodules.

Fuchs, Laszlo, Lee, Sang Bum (2004)

Portugaliae Mathematica. Nova Série

Full Ideals of Polynomial Rings.

A. Kreuzer, Carl J. Maxson (1998)

Monatshefte für Mathematik

Fully inert submodules of torsion-free modules over the ring of p-adic integers

B. Goldsmith, L. Salce, P. Zanardo (2014)

Colloquium Mathematicae

Fully inert submodules of torsion-free $J_{p}$ -modules are investigated. It is proved that if the module considered is either free or complete, these submodules are exactly those which are commensurable with fully invariant submodules; examples are given of torsion-free $J_{p}$ -modules for which this property fails.

Currently displaying 81 – 100 of 104

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Displaying 81 – 100 of 104

Fréchet algebras of power series

Fredholm spectrum and growth of cohomology groups

Free minimal resolutions and the Betti numbers of the suspension of an $n$ -gon.

Free ℤ-module

Free Resolutions of The Defining Ideal of Certain Rational Surfaces.

Freeness, linear disjointness, and implicitization -- a classical approach.

Freie Auflösungen äusserer Potenzen.

Frobenius et cohomologie locale

Frobenius modules and Galois representations

Frobenius pull-back of vector bundles of rank 2 over non-uniruled varieties.

From a single chain to a large family of submodules.

Full Ideals of Polynomial Rings.

Fully inert submodules of torsion-free modules over the ring of p-adic integers

Fully rigid systems of modules

Functions without residue and a bilinear differential equation

Functorial rings of quotients 2: the ring of hyper-fractions.

Functorial Subgroups Commuting with Inverse Limits.

Fundamental Groups, Algebraic K-Theory, and a Problem of Abhyankar.

Funktoren in der Kategorie der lokal kompakten Moduln.

Further generalizations of the Fibonacci-coefficient polynomials.

Currently displaying 81 – 100 of 104