论文标题
分类倾斜模块，零正方形的澳大利亚代数中零代数代数
Classifying tilting modules over the Auslander algebras of radical square zero Nakayama algebras
论文作者
论文摘要
令$λ$为带有$ n $简单模块的基地零正方形零正方形代数，让$γ$为$λ$的澳大利亚代数。然后，倾斜$γ$ - 模块的每个难以解决的直接汇总都是简单的或投影的。此外，如果$λ$是自注明的，则倾斜$γ$ - 模型的数量为$ 2^n $;否则，倾斜$γ$ -Modules的数量为$ 2^{n-1} $。
Let $Λ$ be a radical square zero Nakayama algebra with $n$ simple modules and let $Γ$ be the Auslander algebra of $Λ$. Then every indecomposable direct summand of a tilting $Γ$-module is either simple or projective. Moreover, if $Λ$ is self-injective, then the number of tilting $Γ$-modules is $2^n$; otherwise, the number of tilting $Γ$-modules is $2^{n-1}$.
