2022/08/29 by Samaneh Baghdari, Baghdari, Samaneh, Johan Öinert +1
Mathematics · #16D70 #16P20 #16S34 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2208.13601
openalex publication_date 2022/08/29 · openalex created_date 2022/08/31 · openalex updated_date 2026/07/28
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.