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 Krull-Gabriel dimension of such rings is 0, 2 or undefined.
Krull-Gabriel dimension and the model-theoretic complexity of the category of modules over group rings of finite groups
TOFFALORI, Carlo
2008-01-01
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 Krull-Gabriel dimension of such rings is 0, 2 or undefined.File in questo prodotto:
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