Krull�Gabriel dimension and the model-theoretic complexity of the category of modules over group rings of finite groups

• Autores: Gena Puninski
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 1, 2008, págs. 125-142
• Idioma: inglés
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• Resumen

  • 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.