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arXiv · 2105.10898

Auslander correspondence for kawada rings

Ziba Fazelpour·Alireza Nasr-Isfahani
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Abstract

We study the Auslander ring of a basic left K\"othe ring $\Lambda$ and give a characterization of basic left K\"othe rings in terms of their Auslander rings. We also study the functor category Mod$((\Lambda$-mod$)^{\rm op})$ and characterize basic left K\"othe rings $\Lambda$ by using functor categories Mod$((\Lambda$-mod$)^{\rm op})$. 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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Ziba Fazelpour, Alireza Nasr-Isfahani. 2021-05-23. Auslander correspondence for kawada rings. https://arxiv.org/abs/2105.10898

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