论文标题
纯净的半圣事和köthe群戒指
Pure semisimple and Köthe group rings
论文作者
论文摘要
在本文中，我们提供了Abelian Group Rings是KötheRings的完整表征。我们还提供了（可能是非亚洲）组环的特征，而不是特征零和主要特征的köthe环，并且证明了大体型型群环的纯度半径。此外，我们通过几个示例来说明结果。
In this article we provide a complete characterization of abelian group rings which are Köthe rings. We also provide characterizations of (possibly non-abelian) group rings over division rings which are Köthe rings, both in characteristic zero and in prime characteristic, and prove a Maschke type result for pure semisimplicity of group rings. Furthermore, we illustrate our results by several examples.
