International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2004 / Article

Open Access

Volume 2004 |Article ID 352976 | https://doi.org/10.1155/S0161171204309270

Holger Steiniger, "On the Beurling algebras Aα+(𝔻)—derivations and extensions", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 352976, 23 pages, 2004. https://doi.org/10.1155/S0161171204309270

On the Beurling algebras Aα+(𝔻)—derivations and extensions

Received27 Sep 2003

Abstract

Based on a description of the squares of cofinite primary ideals of Aα+(𝔻), we prove the following results: for α1, there exists a derivation from Aα+(𝔻) into a finite-dimensional module such that this derivation is unbounded on every dense subalgebra; for m and α[m,m+1), every finite-dimensional extension of Aα+(𝔻) splits algebraically if and only if αm+1/2.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


More related articles

 PDF Download Citation Citation
 Order printed copiesOrder
Views66
Downloads426
Citations

Related articles

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.