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A General Approach to the Fitting Lemma

Published online by Cambridge University Press:  21 December 2009

Péter Körtesi
Affiliation:
Institute of Mathematics, University of Miskolc, Miskolc, Hungary 3515. E-mail: [email protected]
Jenő Szigeti
Affiliation:
Institute of Mathematics, University of Miskolc, Miskolc, Hungary 3515. E-mail: [email protected]
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Abstract

Results are formulated about the image and the kernel of the kth iterate fk of a function f : AA. 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”.

Type
Research Article
Copyright
Copyright © University College London 2005

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References

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