显式HRS倾斜
Explicit HRS-Tilting
摘要：
对于具有挠对的阿贝尔范畴$A$，我们给出了Happel-Reiten-Smalo引入的阿贝尔范畴$B$，链复形范畴$Ch(B)$和$B$的导出范畴$D(B)$的显式描述.我们还描述了在$Ch(B)$上的DG结构。作为结果，我们找到新的证明的某些结果的Happel-Reiten-Smalo。主要成分是{ \em修饰}类配合物。
英文摘要：
For an abelian category $A$ equipped with a torsion pair, we give an explicit description for the abelian category $B$ introduced by Happel-Reiten-Smalo, and also for the category of chain complexes $Ch(B)$ and the derived category $D(B)$ of $B$. We also describe the DG structure on $Ch(B)$. As a consequence, we find new proofs of certain results of Happel-Reiten-Smalo. The main ingredient is the category of {\em decorated} complexes.
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。
