TITLE

# Krullâ€“Gabriel dimension and the model-theoretic complexity of the category of modules over group rings of finite groups

AUTHOR(S)
Puninski, Gena; Puninskaya, Vera; Toffalori, Carlo
PUB. DATE
August 2008
SOURCE
Journal of the London Mathematical Society;Aug2008, Vol. 78 Issue 1, p125
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We classify group rings of finite groups over a field F according to the model-theoretic complexity of the category of their modules. For instance, we prove that, if F contains a primitive cubic root of 1, then the Krullâ€“Gabriel dimension of such rings is 0, 2, or undefined.
ACCESSION #
44398875

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