论文标题
报告淤泥物体的有限性
Report on the finiteness of silting objects
论文作者
论文摘要
我们讨论(两项)淤积物体的有限性。首先,我们研究了新的三角类别,而无需淤积对象。其次,一个研究两类$τ$ - 替代代数,并给出其两项淤积物体的数量。最后,我们探索$τ$ tilting-finitesimentes nimententes nimentense表示代表finitiongatoin,并获得几类代数,其中$τ$ tisting-tilting-tilting-finite-finite代数代表限制。
We discuss the finiteness of (two-term) silting objects. First, we investigate new triangulated categories without silting object. Second, one studies two classes of $τ$-tilting-finite algebras and give the numbers of their two-term silting objects. Finally, we explore when $τ$-tilting-finiteness implies representatoin-finiteness, and obtain several classes of algebras in which a $τ$-tilting-finite algebra is representation-finite.