Hostname: page-component-848d4c4894-xm8r8 Total loading time: 0 Render date: 2024-06-26T13:55:10.493Z Has data issue: false hasContentIssue false
  • English
  • Français

The zero-level centralizer in endomorphism algebras

Published online by Cambridge University Press:  27 November 2012

Jenö Szigeti  and
Leon van Wyk
Jenö Szigeti
Affiliation:
Institute of Mathematics, University of Miskolc, Miskolc 3515, Hungary (jeno.szigeti@uni-miskolc.hu)
Leon van Wyk
Affiliation:
Department of Mathematical Sciences, Stellenbosch University, Private Bag X1, Matieland 7602, Stellenbosch, South Africa (lvw@sun.ac.za)
Get access Rights & Permissions [Opens in a new window]

Abstract

For an endomorphism φ ∈ EndR(M) of a left R-module RM, we investigate the structure and the polynomial identities of the zero-level centralizer Cen0(φ) and the factor Cen(φ)/Cen0(φ). A double zero-centralizer theorem for Cen0(Cen0(φ)) is also formulated.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 6 , December 2012 , pp. 1325 - 1336
Copyright
Copyright © Royal Society of Edinburgh 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)