论文标题
阿贝尔类别的回忆录的梯子
Ladders of recollements of abelian categories
论文作者
论文摘要
引入了阿贝尔类别的回忆录的梯子，并用于解决三个一般问题。一定高度的梯子可以构建三角形类别的回忆，涉及阿伯利亚的类别和奇异类别。梯子还允许倾斜阿贝尔的回忆，梯子保证诸如戈伦斯坦（Gorenstein）射影或注射剂之类的特性在阿贝尔（Abelian）的回忆中保留了一些函子。破坏对称对于发展这一理论至关重要。
Ladders of recollements of abelian categories are introduced, and used to address three general problems. Ladders of a certain height allow to construct recollements of triangulated categories, involving derived categories and singularity categories, from abelian ones. Ladders also allow to tilt abelian recollements, and ladders guarantee that properties like Gorenstein projective or injective are preserved by some functors in abelian recollements. Breaking symmetry is crucial in developing this theory.
