Type: Article

Auslander correspondence for Kawada rings

Journal: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas (15787303)Year: 2025/01/01Volume: Issue: 1

Fazelpour Z.Nasr-Isfahani A.^a

a :University of Isfahan - IRAN(IR) - Isfahan

GreenDOI:10.1007/s13398-024-01694-wLanguage: English

Abstract

We study the Auslander ring of a basic left Köthe ring Λ and give a characterization of basic left Köthe rings in terms of their Auslander rings. We also study the functor category Mod((Λ-mod)op) and characterize basic left Köthe rings Λ by using functor categories Mod((Λ-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. © The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid 2024.