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A General Approach to the Fitting Lemma

Part of: Modules, bimodules and ideals Chain conditions, growth conditions, and other forms of finiteness

Published online by Cambridge University Press:  21 December 2009

Péter Körtesi  and
Jenő Szigeti
Péter Körtesi
Affiliation:
Institute of Mathematics, University of Miskolc, Miskolc, Hungary 3515. E-mail: matkp@gold.uni-miskolc.hu
Jenő Szigeti
Affiliation:
Institute of Mathematics, University of Miskolc, Miskolc, Hungary 3515. E-mail: jeno.szigeti@uni-miskolc.hu
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Abstract

Results are formulated about the image and the kernel of the kth iterate fk of a function f : A → A. In this way, an extremely general version of Fitting's classical lemma is obtained. Two applications are presented: the first is a characterization of strongly π-regular rings, while the second is a “lattice theoretical Fitting lemma”.

MSC classification

Secondary: 16D70: Structure and classification (except as in ), direct sum decomposition, cancellation 16P20: Artinian rings and modules
Type
Research Article
Information
Mathematika , Volume 52 , Issue 1-2 , December 2005 , pp. 155 - 160
Copyright
Copyright © University College London 2005

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References

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