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Paper   IPM / M / 18026
School of Mathematics
  Title:   Auslander correspondence for Kawada rings
  Author(s): 
1.  Ziba Fazelpour
2.  Alireza Nasr-Isfahani
  Status:   Published
  Journal: Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.
  Vol.:  119
  Year:  2025
  Pages:   1-10
  Supported by:  IPM
  Abstract:
We study the Auslander ring of a basic left Kothe ring L and give a characterization of basic left Kothe rings in terms of their Auslander rings. We also study the functor category Mod((L-mod)op) and characterize basic left Kothe rings L by using functor categoriesMod((L-mod)op). As a consequence we show that there exists a bijection between the Morita equivalence classes of left Kawada rings and the Morita equivalence classes of Auslander generalized right QF-2 rings.

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