AI 中文总结
本文利用∁-箭图刻画阿廷代数上有限生成模的双参数分层，并证明自反模稳定范畴与另外两个范畴通过Ω和∁诱导的互拟逆等价实现等价。
AI 中文摘要
本文利用$\boldsymbol{\text{∁}}$-箭图，描述了阿廷代数上有限生成模类的双参数分层结构。作为应用，证明了自反模的稳定范畴与另外两个范畴等价，该等价由Ω与$\boldsymbol{\text{∁}}$诱导的互拟逆等价给出。
英文摘要
A two-parameter hierarchy of classes of finitely generated modules over an artin algebra is described by using the $\mho$-quiver. As an application, it is shown that the stable category of reflexive modules is equivalent to two other categories via the mutually quasi-inverse equivalences induced by $Ω$ and $\mho$.
