Displaying similar documents to “On the Bézout equation in the ring of periodic distributions”

Constructing ω-stable structures: Computing rank

John T. Baldwin, Kitty Holland (2001)

Fundamenta Mathematicae

Similarity:

This is a sequel to [1]. Here we give careful attention to the difficulties of calculating Morley and U-rank of the infinite rank ω-stable theories constructed by variants of Hrushovski's methods. Sample result: For every k < ω, there is an ω-stable expansion of any algebraically closed field which has Morley rank ω × k. We include a corrected proof of the lemma in [1] establishing that the generic model is ω-saturated in the rank 2 case.

On the unit-1-stable rank of rings of analytic functions.

Joan Josep Carmona, Julià Cufí, Pere Menal (1992)

Publicacions Matemàtiques

Similarity:

In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.

Stable rank and real rank of compact transformation group C*-algebras

Robert J. Archbold, Eberhard Kaniuth (2006)

Studia Mathematica

Similarity:

Let (G,X) be a transformation group, where X is a locally compact Hausdorff space and G is a compact group. We investigate the stable rank and the real rank of the transformation group C*-algebra C₀(X)⋊ G. Explicit formulae are given in the case where X and G are second countable and X is locally of finite G-orbit type. As a consequence, we calculate the ranks of the group C*-algebra C*(ℝⁿ ⋊ G), where G is a connected closed subgroup of SO(n) acting on ℝⁿ by rotation.

Small profinite m-stable groups

Frank O. Wagner (2003)

Fundamenta Mathematicae

Similarity:

A small profinite m-stable group has an open abelian subgroup of finite ℳ-rank and finite exponent.

Augmented Γ-spaces, the stable rank filtration, and a bu analogue of the Whitehead conjecture

Gregory Z. Arone, Kathryn Lesh (2010)

Fundamenta Mathematicae

Similarity:

We explore connections between our previous paper [J. Reine Angew. Math. 604 (2007)], where we constructed spectra that interpolate between bu and Hℤ, and earlier work of Kuhn and Priddy on the Whitehead conjecture and of Rognes on the stable rank filtration in algebraic K-theory. We construct a "chain complex of spectra" that is a bu analogue of an auxiliary complex used by Kuhn-Priddy; we conjecture that this chain complex is "exact"; and we give some supporting evidence. We tie this...

Generic one-step bracket-generating distributions of rank four

Chiara De Zanet (2015)

Archivum Mathematicum

Similarity:

We give a uniform, explicit description of the generic types of one–step bracket–generating distributions of rank four. A manifold carrying such a structure has dimension at least five and no higher than ten. For each of the generic types, we give a brief description of the resulting class of generic distributions and of geometries equivalent to them. For dimensions different from eight and nine, these are available in the literature. The remaining two cases are dealt with in my doctoral...