论文标题
回忆和倾斜模块
Recollements and tilting modules
论文作者
论文摘要
令$（\ mbox {mod}λ'，\ mbox {mod}λ，\ mbox {mod}λ''）$是Artin代数$λ'$，$λ$和$λ$和$λ''$的模块类别的回忆。我们提供了足够的条件，使得在给定的两个扭力对倾斜$ \ mbox {mod}λ'$和$ \ mbox {mod}λ'''''''''$时，$ \ mbox {mod}λ$中的胶合扭转对正在倾斜。使用此结果，我们分别在$ \ mbox {mod}λ$中为$ \ mbox {mod}λ'$和$ \ mbox {mod}λ''$的倾斜模块构造了倾斜模块的胶合。
Let $(\mbox{mod} Λ',\mbox{mod} Λ,\mbox{mod} Λ'')$ be a recollement of module categories for artin algebras $Λ'$, $Λ$ and $Λ''$. We provide a sufficient condition such that a glued torsion pair in $\mbox{mod} Λ$ is tilting when the given two torsion pairs are tilting in $\mbox{mod} Λ'$ and $\mbox{mod} Λ''$ respectively. Using this result, we give a construction of gluing of tilting modules in $\mbox{mod} Λ$ with respect to tilting modules in $\mbox{mod} Λ'$ and $\mbox{mod} Λ''$ respectively.
