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A General Approach to the Fitting Lemma
Author(s) -
Körtesi Péter,
Szigeti Jenő
Publication year - 2005
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300000425
Subject(s) - mathematics , lemma (botany) , characterization (materials science) , lattice (music) , kernel (algebra) , pure mathematics , combinatorics , discrete mathematics , poaceae , biology , ecology , materials science , physics , acoustics , nanotechnology
Abstract Results are formulated about the image and the kernel of the k th iterate f k 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”.