论文标题
Auslander定理的砖版
A brick version of a theorem of Auslander
论文作者
论文摘要
我们证明，只有在有限生成$λ$以上的所有砖块时，有限的维数代数$λ$是$τ-$倾斜有限的。这是由于存在适用于$τ-$倾斜无限代数的适当局部最大扭转类的结果。
We prove that a finite dimensional algebra $Λ$ is $τ-$tilting finite if and only if all the bricks over $Λ$ are finitely generated. This is obtained as a consequence of the existence of proper locally maximal torsion classes for $τ-$tilting infinite algebras.
