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Paper   IPM / M / 16422
School of Mathematics
  Title:   Coxeter diagrams and the Köthe's problem
  Author(s): 
1.  Ziba Fazelpour
2.  Alireza Nasr-Isfahani
  Status:   Published
  Journal: Canad. J. Math
  Year:  2020
  Pages:   DOI: 10.4153/S0008414X20000115
  Supported by:  IPM
  Abstract:
A ring Λ is called right Köthe if every right Λ-module is a direct sum of cyclic modules. In this paper, we give a characterization of basic hereditary right Köthe rings in terms of their Coxeter valued quivers. Also we give a characterization of basic right Köthe rings with radical square zero. Therefore we give a solution of the Köthe's problem in these two cases.


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