Skip Navigation

The Quarterly Journal of Mathematics 2005 56(1):31-41; doi:10.1093/qmath/hah019
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Bresar, M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author (2005). Published by Oxford University Press. All rights reserved. For Permissions please email: journals.permissions@oupjournals.org

The range and kernel inclusion of algebraic derivations and commuting maps

Matej Bresar *

Department of Mathematics, University of Maribor, PEF, Koroska 160, 2000 Maribor, Slovenia

Let {delta} and {delta}' be derivations of an algebra A. Consider the following conditions: (i) the range of {delta}' is contained in the range of {delta}, (ii) the kernel of {delta} is contained in the kernel of {delta}', (iii) {delta} is an inner derivation generated by a A and {delta}' is an inner derivation generated by a polynomial in a. If {delta} is algebraic then we show that under rather mild additional assumptions these three conditions are closely related. This is used in obtaining some new characterizations of commuting maps on certain rings and normed algebras.

Received 27 March 2003.

* E-mail: bresar{at}uni-mb.si


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.