Gorenstein代数诱导的无界梯子
Unbounded ladders induced by Gorenstein algebras
摘要：
Gorenstein三角形矩阵代数$A$的导出范畴存在一个无界梯子，它的周期为$3$，如果$A = T_2(B)$ .此外，一个带有Serre函子的三角范畴的左重元位于周期为$1$的阶梯中;作为应用，$A$的奇点范畴允许一个周期为$1$的阶梯。
英文摘要：
The derived category of a Gorenstein triangular matrix algebra $A$ admits an unbounded ladder, which is of period $3$ if $A = T_2(B)$. Also, a left recollement of triangulated categories with Serre functors sits in a ladder of period $1$; as an application, the singularity category of $A$ admits a ladder of period $1$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
